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{{Short description|Polish mathematical physicist}}
{{Short description|Polish mathematical physicist}}
[[File:Gawedzki.jpg|thumb|<center>Gawędzki, Erlangen 1974</center>]]
[[File:Gawedzki.jpg|thumb|<center>Gawędzki, Erlangen 1974</center>]]
'''Krzysztof Gawędzki'''<ref>The Polish pronunciation of "Gawędzki" is similar to that of "Gawenzki" — because of the pronunciation of the Polish letter [[ę]].</ref> (born 02/07/1947 Zarki, Poland -- died 21/01/2022 Lyon, France) is a Polish-French mathematical physicist.
'''Krzysztof Gawędzki'''<ref>The Polish pronunciation of "Gawędzki" is similar to that of "Gawendzki" — because of the pronunciation of the Polish letter [[ę]].</ref> (born 02/07/1947 Żarki, Poland -- died 21/01/2022 Lyon, France) was a Polish-French mathematical physicist.


==Education and career==
==Education and career==
Gawedzki received in 1971 his doctorate from the [[University of Warsaw]].<ref name=ias>{{cite web|title=Krzysztof Gawedzki|website=Institute for Advanced Study|date=9 December 2019|url=https://www.ias.edu/scholars/krzysztof-gawedzki}}</ref> His doctoral dissertation ''Functional theory of geodesic fields'' was supervised by {{ill|Krzysztof Maurin|pl}}<ref>{{MathGenealogy|id=212875|name=Krzysztof Gawędzki}}</ref> (1923–2017).
Gawędzki received in 1971 his doctorate from the [[University of Warsaw]].<ref name=ias>{{cite web|title=Krzysztof Gawedzki|website=Institute for Advanced Study|date=9 December 2019|url=https://www.ias.edu/scholars/krzysztof-gawedzki}}</ref> His doctoral dissertation ''Functional theory of geodesic fields'' was supervised by {{ill|Krzysztof Maurin|pl}}<ref>{{MathGenealogy|id=212875|name=Krzysztof Gawędzki}}</ref> (1923–2017).


In the 1980s Gawedzki did research at [[CNRS]] at the [[IHES]] near Paris. He was a professor at the [[École normale supérieure de Lyon]] (ENS de Lyon), where he is a now an emeritus researcher.<ref>{{cite web|title=Krzysztof Gawedzki, Thermodynamics of Fluctuations in Fast Processes|date=February 4, 2016|website=ICFO Colloquia|url=https://icfo.eu/calendar2?event=2960}}</ref>
In the 1980s Gawędzki did research at [[CNRS]] at the [[IHES]] near Paris. He was a professor at the [[École normale supérieure de Lyon]] (ENS de Lyon), and later an emeritus researcher there.<ref>{{cite web|title=Krzysztof Gawedzki, Thermodynamics of Fluctuations in Fast Processes|date=February 4, 2016|website=ICFO Colloquia|url=https://icfo.eu/calendar2?event=2960}}</ref>


He is known for his research in the mathematics of [[quantum field theory]] (QFT), especially [[conformal field theory]].<ref>{{cite web|title=Krzysztof Gawedzki|website=nLab|url=https://ncatlab.org/nlab/show/Krzysztof+Gawedzki}}</ref> In the 1980s he collaborated with [[Antti Kupiainen]] on the application of the [[renormalization group]] method in the rigorous mathematical treatment of various model systems of quantum field theory.<ref>{{cite journal|author=Gawdedzki, K.|author2=Kupiainen, A.|title=Renormalizing the nonrenormizable|journal=Phys. Rev. Lett.|volume=55|year=1985|issue=4|pages=363–3365|doi=10.1103/PhysRevLett.55.363|pmid=10032331}}</ref><ref>{{cite journal|url=https://www.sciencedirect.com/science/article/abs/pii/0550321385900628|doi=10.1016/0550-3213(85)90062-8|title=Renormalization of a non-renormalizable quantum field theory|year=1985|last1=Gawȩdski|first1=K.|last2=Kupiainen|first2=A.|journal=Nuclear Physics B|volume=262|issue=1|pages=33–48|bibcode=1985NuPhB.262...33G}}</ref> Much of their research deals with [[conformal field theory|conformal field theories]], which serve as two-dimensional [[toy model]]s of non-perturbative aspects of QFT (with applications to [[string theory]] and [[statistical mechanics]]). Gadwedzki and collaborators studied the geometry of [[Wess–Zumino–Witten model|WZW model]]s (also called WZNW models, Wess-Zumino-Novikov-Witten models), prototypes for rational conformal field theories.<ref>{{cite journal|author=Felder, G.|author-link=Giovanni Felder|author2=Gawedzki, K.|author3=Kupiainen, A.|title=Spectra of WZW models with arbitrary simple group|journal=Communications in Mathematical Physics|volume=117|year=1988|pages=127–158|doi=10.1007/BF01228414|s2cid=119767773|url=http://projecteuclid.org/euclid.cmp/1104161597}}</ref><ref>{{cite journal|doi=10.1016/0370-2693(88)91081-7|title=G/H conformal field theory from gauged WZW model|year=1988|last1=Gawȩdzki|first1=K.|last2=Kupiainen|first2=A.|journal=Physics Letters B|volume=215|issue=1|pages=119–123|bibcode=1988PhLB..215..119G}}</ref><ref>{{cite journal|doi=10.1016/0550-3213(89)90015-1|title=Coset construction from functional integrals|year=1989|last1=Gawȩdzki|first1=K.|last2=Kupiainen|first2=A.|journal=Nuclear Physics B|volume=320|issue=3|pages=625–668|bibcode=1989NuPhB.320..625G}}</ref><ref>{{cite arxiv|eprint=hep-th/9904145|last1=Gawedzki|first1=Krzysztof|title=Conformal field theory: A case study|year=1999}}</ref>
He is known for his research in the mathematics of [[quantum field theory]] (QFT), especially [[conformal field theory]].<ref>{{cite web|title=Krzysztof Gawedzki|website=nLab|url=https://ncatlab.org/nlab/show/Krzysztof+Gawedzki}}</ref> In the 1980s he collaborated with [[Antti Kupiainen]] on the application of the [[renormalization group]] method in the rigorous mathematical treatment of various model systems of quantum field theory.<ref>{{cite journal|author=Gawędzki, K.|author2=Kupiainen, A.|title=Renormalizing the nonrenormizable|journal=Phys. Rev. Lett.|volume=55|year=1985|issue=4|pages=363–3365|doi=10.1103/PhysRevLett.55.363|pmid=10032331}}</ref><ref>{{cite journal|url=https://www.sciencedirect.com/science/article/abs/pii/0550321385900628|doi=10.1016/0550-3213(85)90062-8|title=Renormalization of a non-renormalizable quantum field theory|year=1985|last1=Gawȩdski|first1=K.|last2=Kupiainen|first2=A.|journal=Nuclear Physics B|volume=262|issue=1|pages=33–48|bibcode=1985NuPhB.262...33G}}</ref> Much of their research deals with [[conformal field theory|conformal field theories]], which serve as two-dimensional [[toy model]]s of non-perturbative aspects of QFT (with applications to [[string theory]] and [[statistical mechanics]]). Gawędzki and collaborators studied the geometry of [[Wess–Zumino–Witten model|WZW model]]s (also called WZNW models, Wess-Zumino-Novikov-Witten models), prototypes for rational conformal field theories.<ref>{{cite journal|author=Felder, G.|author-link=Giovanni Felder|author2=Gawędzki, K.|author3=Kupiainen, A.|title=Spectra of WZW models with arbitrary simple group|journal=Communications in Mathematical Physics|volume=117|year=1988|pages=127–158|doi=10.1007/BF01228414|s2cid=119767773|url=http://projecteuclid.org/euclid.cmp/1104161597}}</ref><ref>{{cite journal|doi=10.1016/0370-2693(88)91081-7|title=G/H conformal field theory from gauged WZW model|year=1988|last1=Gawędzki|first1=K.|last2=Kupiainen|first2=A.|journal=Physics Letters B|volume=215|issue=1|pages=119–123|bibcode=1988PhLB..215..119G}}</ref><ref>{{cite journal|doi=10.1016/0550-3213(89)90015-1|title=Coset construction from functional integrals|year=1989|last1=Gawędzki|first1=K.|last2=Kupiainen|first2=A.|journal=Nuclear Physics B|volume=320|issue=3|pages=625–668|bibcode=1989NuPhB.320..625G}}</ref><ref>{{cite arxiv|eprint=hep-th/9904145|last1=Gawedzki|first1=Krzysztof|title=Conformal field theory: A case study|year=1999}}</ref>


With Kupiainen he succeeded in the 1980s in the rigorous construction of the massless lattice <math>\phi^4_4</math> model in four dimensions and the [[Gross-Neveu model]] in two space-time dimensions.<ref>{{cite journal|doi=10.1007/BF01212281|title=Massless lattice <math>\phi^4_4</math> theory: Rigorous control of a renormalizable asymptotically free model|year=1985|last1=Gawedzki|first1=K.|last2=Kupiainen|first2=A.|journal=Communications in Mathematical Physics|volume=99|issue=2|pages=197–252|s2cid=121722023}}</ref><ref>{{cite journal|doi=10.1007/BF01208817|title=Gross-Neveu model through convergent perturbation expansions|year=1985|last1=Gawçdzki|first1=K.|last2=Kupiainen|first2=A.|journal=Communications in Mathematical Physics|volume=102|issue=1|pages=1–30|bibcode=1985CMaPh.102....1G|s2cid=122720270|url=http://projecteuclid.org/euclid.cmp/1104114300}}</ref> At about the same time, this was achieved by [[Roland Sénéor]], [[Jacques Magnen]], [[Joel Feldman]] and [[Vincent Rivasseau]]. This was considered an outstanding achievement in constructive quantum field theory.
With Kupiainen he succeeded in the 1980s in the rigorous construction of the massless lattice <math>\phi^4_4</math> model in four dimensions and the [[Gross-Neveu model]] in two space-time dimensions.<ref>{{cite journal|doi=10.1007/BF01212281|title=Massless lattice <math>\phi^4_4</math> theory: Rigorous control of a renormalizable asymptotically free model|year=1985|last1=Gawedzki|first1=K.|last2=Kupiainen|first2=A.|journal=Communications in Mathematical Physics|volume=99|issue=2|pages=197–252|s2cid=121722023}}</ref><ref>{{cite journal|doi=10.1007/BF01208817|title=Gross-Neveu model through convergent perturbation expansions|year=1985|last1=Gawędzki|first1=K.|last2=Kupiainen|first2=A.|journal=Communications in Mathematical Physics|volume=102|issue=1|pages=1–30|bibcode=1985CMaPh.102....1G|s2cid=122720270|url=http://projecteuclid.org/euclid.cmp/1104114300}}</ref> At about the same time, this was achieved by [[Roland Sénéor]], [[Jacques Magnen]], [[Joel Feldman]] and [[Vincent Rivasseau]]. This was considered an outstanding achievement in constructive quantum field theory.


In 1986 Gawedzki<ref>{{cite book|doi=10.1007/978-1-4613-0729-7_5|chapter=Topological Actions in Two-Dimensional Quantum Field Theories|title=''In: Gerard t'Hooft, Arthur Jaffe, G. Mack, Peter Mitter, Raymond Stora (eds.)'', Nonperturbative Quantum Field Theory, ''Cargèse Lectures 1987''|series=NATO ASI Series|year=1988|last1=Gawędzki|first1=K.|volume=185|pages=101–141|isbn=978-1-4612-8053-8}}</ref> identified the [[Kalb–Ramond field]] (B field), which generalizes the electromagnetic field from point particles to [[String theory|strings]], as a degree-3 cocycle in the Deligne cohomology model.<ref>{{cite web|url=http://ncatlab.org/nlab/show/Kalb-Ramond+field|title=Kalb-Ramond Field|website=nLab}}</ref>
In 1986 Gawędzki<ref>{{cite book|doi=10.1007/978-1-4613-0729-7_5|chapter=Topological Actions in Two-Dimensional Quantum Field Theories|title=''In: Gerard t'Hooft, Arthur Jaffe, G. Mack, Peter Mitter, Raymond Stora (eds.)'', Nonperturbative Quantum Field Theory, ''Cargèse Lectures 1987''|series=NATO ASI Series|year=1988|last1=Gawędzki|first1=K.|volume=185|pages=101–141|isbn=978-1-4612-8053-8}}</ref> identified the [[Kalb–Ramond field]] (B field), which generalizes the electromagnetic field from point particles to [[String theory|strings]], as a degree-3 cocycle in the Deligne cohomology model.<ref>{{cite web|url=http://ncatlab.org/nlab/show/Kalb-Ramond+field|title=Kalb-Ramond Field|website=nLab}}</ref>


In the 2000s he did research on [[turbulence]],<ref>{{cite arxiv|eprint=chao-dyn/9610003|last1=Gawedzki|first1=Krzysztof|title=Turbulence under a magnifying glass|year=1996}}</ref> partly in collaboration with Kupiainen. In 1995 Gadwedzki and Kupianen demonstrated anomalous scaling behavior of scalar advection in random vector field models of homogeneous turbulence.<ref>{{cite journal|arxiv=chao-dyn/9506010|doi=10.1103/PhysRevLett.75.3834|title=Anomalous Scaling of the Passive Scalar|year=1995|last1=Gawȩdzki|first1=Krzysztof|last2=Kupiainen|first2=Antti|journal=Physical Review Letters|volume=75|issue=21|pages=3834–3837|pmid=10059743|bibcode=1995PhRvL..75.3834G|s2cid=14446225}}</ref>
In the 2000s he did research on [[turbulence]],<ref>{{cite arxiv|eprint=chao-dyn/9610003|last1=Gawedzki|first1=Krzysztof|title=Turbulence under a magnifying glass|year=1996}}</ref> partly in collaboration with Kupiainen. In 1995 Gawędzki and Kupianen demonstrated anomalous scaling behavior of scalar advection in random vector field models of homogeneous turbulence.<ref>{{cite journal|arxiv=chao-dyn/9506010|doi=10.1103/PhysRevLett.75.3834|title=Anomalous Scaling of the Passive Scalar|year=1995|last1=Gawedzki|first1=Krzysztof|last2=Kupiainen|first2=Antti|journal=Physical Review Letters|volume=75|issue=21|pages=3834–3837|pmid=10059743|bibcode=1995PhRvL..75.3834G|s2cid=14446225}}</ref>


From January to June 2003 he was at the [[Institute for Advanced Study]].<ref name=ias/> In 1986 he was invited speaker with talk ''Renormalization: from magic to mathematics'' at the [[International Congress of Mathematicians]] in [[Berkeley, California|Berkeley]].<ref>{{cite book|author=Gawędzki, K.|title=Proceedings|chapter=Renormalization: from magic to mathematics|year=1986|volume=vol. 2|pages=1278–1285}}</ref> In 2007 at ENS de Lyon a conference on mathematical physics was held in honor of his 60th birthday.<ref>{{cite web|url=http://www.ens-lyon.fr/PHYSIQUE/Actualite/Gawedzki/|title="Fields, Fluids & Branes", Conference on Mathematical Physics on the Occasion of the 60th Birthday of Krzysztof Gawędzki|year=2007|website=École Normale Supérieure de Lyon, France}}</ref> In 2017 at the [[University of Nice Sophia Antipolis]] a conference on mathematical physics was held in honor of his 70th birthday.<ref>{{cite web|title=From Field Theory to Non-Equilibrium, Conference on Mathematical Physics in honour of Krzysztof Gawędzki on the occasion of his 70th birthday|year=2017|url=https://www.fuw.edu.pl/~suszek/K-Fest_2017.html}}</ref>
From January to June 2003 he was at the [[Institute for Advanced Study]].<ref name=ias/> In 1986 he was invited speaker with talk ''Renormalization: from magic to mathematics'' at the [[International Congress of Mathematicians]] in [[Berkeley, California|Berkeley]].<ref>{{cite book|author=Gawędzki, K.|title=Proceedings|chapter=Renormalization: from magic to mathematics|year=1986|volume=vol. 2|pages=1278–1285}}</ref> In 2007 at ENS de Lyon a conference on mathematical physics was held in honor of his 60th birthday.<ref>{{cite web|url=http://www.ens-lyon.fr/PHYSIQUE/Actualite/Gawedzki/|title="Fields, Fluids & Branes", Conference on Mathematical Physics on the Occasion of the 60th Birthday of Krzysztof Gawędzki|year=2007|website=École Normale Supérieure de Lyon, France}}</ref> In 2017 at the [[University of Nice Sophia Antipolis]] a conference on mathematical physics was held in honor of his 70th birthday.<ref>{{cite web|title=From Field Theory to Non-Equilibrium, Conference on Mathematical Physics in honour of Krzysztof Gawędzki on the occasion of his 70th birthday|year=2017|url=https://www.fuw.edu.pl/~suszek/K-Fest_2017.html}}</ref>


==Selected publications==
==Selected publications==
* {{cite book|url=https://www.google.com/books?id=5ZKUNAEACAAJ|isbn = 9780821820148|title =Quantum Fields and Strings: A Course for Mathematicians ''(IAS/Park City Lectures 1996/97)''|year = 1999|publisher = American Mathematical Society|chapter=''Lectures on Conformal Field Theory'' by K. Gawedzki|pages=727–805|editor=Deligne, P.|editor-link=Pierre Deligne|editor2=Etingof, P.|editor-link2=Pavel Etingof|editor3=Freed, D. S.|editor-link3=Dan Freed|editor4=Jeffrey, L.|editor-link4=Lisa Jeffrey|editor5=Kazhdan, D.|editor-link5=David Kazhdan|editor6=Morgan, J.|editor-link6=John Morgan (mathematician)|editor7=Morrison, D. R.|editor-link7=David R. Morrison (mathematician)|editor8=Witten, E.|editor-link8=Edward Witten}}
* {{cite book|url=https://www.google.com/books?id=5ZKUNAEACAAJ|isbn = 9780821820148|title =Quantum Fields and Strings: A Course for Mathematicians ''(IAS/Park City Lectures 1996/97)''|year = 1999|publisher = American Mathematical Society|chapter=''Lectures on Conformal Field Theory'' by K. Gawędzki|pages=727–805|editor=Deligne, P.|editor-link=Pierre Deligne|editor2=Etingof, P.|editor-link2=Pavel Etingof|editor3=Freed, D. S.|editor-link3=Dan Freed|editor4=Jeffrey, L.|editor-link4=Lisa Jeffrey|editor5=Kazhdan, D.|editor-link5=David Kazhdan|editor6=Morgan, J.|editor-link6=John Morgan (mathematician)|editor7=Morrison, D. R.|editor-link7=David R. Morrison (mathematician)|editor8=Witten, E.|editor-link8=Edward Witten}}
* {{cite journal|url=http://www.numdam.org/item/SB_1988-1989__31__95_0/|title=Conformal field theory|mr=1040570|author=Gawędzki, Krzysztof|series=Séminaire Bourbaki, Exp. No. 704|volume= 1988/89|journal=Astérisque|number=177–178|year=1989|pages=95–126}}
* {{cite journal|url=http://www.numdam.org/item/SB_1988-1989__31__95_0/|title=Conformal field theory|mr=1040570|author=Gawędzki, Krzysztof|series=Séminaire Bourbaki, Exp. No. 704|volume= 1988/89|journal=Astérisque|number=177–178|year=1989|pages=95–126}}
* {{cite journal|last1=Frohlich|first1=Jurg|author-link=Jürg Fröhlich|last2=Gawedzki|first2=Krzysztof|title=Conformal Field Theory and Geometry of Strings|journal=CRM Proceedings and Lecture Notes|volume=7|year=1994|pages=57–97|doi=10.1090/crmp/007/03|isbn=9780821803653|s2cid=117189485|url=http://cds.cern.ch/record/257875 |arxiv=hep-th/9310187}}
* {{cite journal|last1=Frohlich|first1=Jurg|author-link=Jürg Fröhlich|last2=Gawedzki|first2=Krzysztof|title=Conformal Field Theory and Geometry of Strings|journal=CRM Proceedings and Lecture Notes|volume=7|year=1994|pages=57–97|doi=10.1090/crmp/007/03|isbn=9780821803653|s2cid=117189485|url=http://cds.cern.ch/record/257875 |arxiv=hep-th/9310187}}
* {{cite journal|doi=10.1016/0550-3213(89)90228-9|title=Quadrature of conformal field theories|year=1989|last1=Gawȩdzki|first1=Krzysztof|journal=Nuclear Physics B|volume=328|issue=3|pages=733–752|bibcode=1989NuPhB.328..733G}}
* {{cite journal|doi=10.1016/0550-3213(89)90228-9|title=Quadrature of conformal field theories|year=1989|last1=Gawędzki|first1=Krzysztof|journal=Nuclear Physics B|volume=328|issue=3|pages=733–752|bibcode=1989NuPhB.328..733G}}
* {{cite book|url=https://books.google.com/books?id=Gt49AQAAIAAJ|title = Quantum Symmetries|isbn = 9780444828675|editor=Connes, Alain|editor-link=Alain Connes|editor2=Gawędzki, K.|editor3=Zinn-Justin, Jean|editor-link3=Jean Zinn-Justin|first1 = |year = 1998|series=Les Houches Lectures, vol. 64 (August/September 1995), Université Joseph Fourier|publisher=Elsevier}}
* {{cite book|url=https://books.google.com/books?id=Gt49AQAAIAAJ|title = Quantum Symmetries|isbn = 9780444828675|editor=Connes, Alain|editor-link=Alain Connes|editor2=Gawędzki, K.|editor3=Zinn-Justin, Jean|editor-link3=Jean Zinn-Justin|first1 = |year = 1998|series=Les Houches Lectures, vol. 64 (August/September 1995), Université Joseph Fourier|publisher=Elsevier}}
* {{cite book|last3=Gawędzki|first3=Krzysztof|last1=Cardy|first1=John|author-link1=John Cardy|last2=Falkovich|first2=Gregory|url=https://www.google.com/books?id=oh56bJzT3zgC|isbn = 9780521715140|title = Non-equilibrium Statistical Mechanics and Turbulence|date = 11 December 2008|publisher = Cambridge University Press|series=London Mathematical Society Lecture Notes Series 355}}
* {{cite book|last3=Gawędzki|first3=Krzysztof|last1=Cardy|first1=John|author-link1=John Cardy|last2=Falkovich|first2=Gregory|url=https://www.google.com/books?id=oh56bJzT3zgC|isbn = 9780521715140|title = Non-equilibrium Statistical Mechanics and Turbulence|date = 11 December 2008|publisher = Cambridge University Press|series=London Mathematical Society Lecture Notes Series 355}}
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==External links==
==External links==
* {{cite web|title=States with non-uniform temperature profiles in conformal field theory by Krzysztof Gawedzki|date=September 29, 2017|website=YouTube|publisher=International Centre for Theoretical Sciences|url=https://www.youtube.com/watch?v=IF8eqx5D3rA}}
* {{cite web|title=States with non-uniform temperature profiles in conformal field theory by Krzysztof Gawędzki|date=September 29, 2017|website=YouTube|publisher=International Centre for Theoretical Sciences|url=https://www.youtube.com/watch?v=IF8eqx5D3rA}}
* {{cite web|author=Gawędzki, K.|title=Heat waves in 1+1 dimensional Conformal Field Theory|date=August 2018|website=Banff International Research Station|url=https://www.birs.ca//workshops//2018/18w5015/files/Gawedzki.pdf}}
* {{cite web|author=Gawędzki, K.|title=Heat waves in 1+1 dimensional Conformal Field Theory|date=August 2018|website=Banff International Research Station|url=https://www.birs.ca//workshops//2018/18w5015/files/Gawedzki.pdf}}


{{authority control}}
{{authority control}}


{{DEFAULTSORT:Gawedzki, Krzysztof}}
{{DEFAULTSORT:Gawędzki, Krzysztof}}
[[Category:20th-century Polish mathematicians]]
[[Category:20th-century Polish mathematicians]]
[[Category:21st-century Polish mathematicians]]
[[Category:21st-century Polish mathematicians]]

Revision as of 00:17, 23 January 2022

Gawędzki, Erlangen 1974

Krzysztof Gawędzki[1] (born 02/07/1947 Żarki, Poland -- died 21/01/2022 Lyon, France) was a Polish-French mathematical physicist.

Education and career

Gawędzki received in 1971 his doctorate from the University of Warsaw.[2] His doctoral dissertation Functional theory of geodesic fields was supervised by Krzysztof Maurin [pl][3] (1923–2017).

In the 1980s Gawędzki did research at CNRS at the IHES near Paris. He was a professor at the École normale supérieure de Lyon (ENS de Lyon), and later an emeritus researcher there.[4]

He is known for his research in the mathematics of quantum field theory (QFT), especially conformal field theory.[5] In the 1980s he collaborated with Antti Kupiainen on the application of the renormalization group method in the rigorous mathematical treatment of various model systems of quantum field theory.[6][7] Much of their research deals with conformal field theories, which serve as two-dimensional toy models of non-perturbative aspects of QFT (with applications to string theory and statistical mechanics). Gawędzki and collaborators studied the geometry of WZW models (also called WZNW models, Wess-Zumino-Novikov-Witten models), prototypes for rational conformal field theories.[8][9][10][11]

With Kupiainen he succeeded in the 1980s in the rigorous construction of the massless lattice model in four dimensions and the Gross-Neveu model in two space-time dimensions.[12][13] At about the same time, this was achieved by Roland Sénéor, Jacques Magnen, Joel Feldman and Vincent Rivasseau. This was considered an outstanding achievement in constructive quantum field theory.

In 1986 Gawędzki[14] identified the Kalb–Ramond field (B field), which generalizes the electromagnetic field from point particles to strings, as a degree-3 cocycle in the Deligne cohomology model.[15]

In the 2000s he did research on turbulence,[16] partly in collaboration with Kupiainen. In 1995 Gawędzki and Kupianen demonstrated anomalous scaling behavior of scalar advection in random vector field models of homogeneous turbulence.[17]

From January to June 2003 he was at the Institute for Advanced Study.[2] In 1986 he was invited speaker with talk Renormalization: from magic to mathematics at the International Congress of Mathematicians in Berkeley.[18] In 2007 at ENS de Lyon a conference on mathematical physics was held in honor of his 60th birthday.[19] In 2017 at the University of Nice Sophia Antipolis a conference on mathematical physics was held in honor of his 70th birthday.[20]

Selected publications

  • Deligne, P.; Etingof, P.; Freed, D. S.; Jeffrey, L.; Kazhdan, D.; Morgan, J.; Morrison, D. R.; Witten, E., eds. (1999). "Lectures on Conformal Field Theory by K. Gawędzki". Quantum Fields and Strings: A Course for Mathematicians (IAS/Park City Lectures 1996/97). American Mathematical Society. pp. 727–805. ISBN 9780821820148.
  • Gawędzki, Krzysztof (1989). "Conformal field theory". Astérisque. Séminaire Bourbaki, Exp. No. 704. 1988/89 (177–178): 95–126. MR 1040570.
  • Frohlich, Jurg; Gawedzki, Krzysztof (1994). "Conformal Field Theory and Geometry of Strings". CRM Proceedings and Lecture Notes. 7: 57–97. arXiv:hep-th/9310187. doi:10.1090/crmp/007/03. ISBN 9780821803653. S2CID 117189485.
  • Gawędzki, Krzysztof (1989). "Quadrature of conformal field theories". Nuclear Physics B. 328 (3): 733–752. Bibcode:1989NuPhB.328..733G. doi:10.1016/0550-3213(89)90228-9.
  • Connes, Alain; Gawędzki, K.; Zinn-Justin, Jean, eds. (1998). Quantum Symmetries. Les Houches Lectures, vol. 64 (August/September 1995), Université Joseph Fourier. Elsevier. ISBN 9780444828675.
  • Cardy, John; Falkovich, Gregory; Gawędzki, Krzysztof (11 December 2008). Non-equilibrium Statistical Mechanics and Turbulence. London Mathematical Society Lecture Notes Series 355. Cambridge University Press. ISBN 9780521715140.
  • Nazarenko, Sergey; Zaboronski, Oleg V., eds. (2008). "Krzysztof Gawędzki. Soluble models of turbulent transport". Non-equilibrium Statistical Mechanics and Turbulence. London Mathematical Society Lecture Notes 355. Cambridge University Press. pp. 44–107. doi:10.1017/CBO9780511812149.003. ISBN 9780511812149.

References

  1. ^ The Polish pronunciation of "Gawędzki" is similar to that of "Gawendzki" — because of the pronunciation of the Polish letter ę.
  2. ^ a b "Krzysztof Gawedzki". Institute for Advanced Study. 9 December 2019.
  3. ^ Krzysztof Gawędzki at the Mathematics Genealogy Project
  4. ^ "Krzysztof Gawedzki, Thermodynamics of Fluctuations in Fast Processes". ICFO Colloquia. February 4, 2016.
  5. ^ "Krzysztof Gawedzki". nLab.
  6. ^ Gawędzki, K.; Kupiainen, A. (1985). "Renormalizing the nonrenormizable". Phys. Rev. Lett. 55 (4): 363–3365. doi:10.1103/PhysRevLett.55.363. PMID 10032331.
  7. ^ Gawȩdski, K.; Kupiainen, A. (1985). "Renormalization of a non-renormalizable quantum field theory". Nuclear Physics B. 262 (1): 33–48. Bibcode:1985NuPhB.262...33G. doi:10.1016/0550-3213(85)90062-8.
  8. ^ Felder, G.; Gawędzki, K.; Kupiainen, A. (1988). "Spectra of WZW models with arbitrary simple group". Communications in Mathematical Physics. 117: 127–158. doi:10.1007/BF01228414. S2CID 119767773.
  9. ^ Gawędzki, K.; Kupiainen, A. (1988). "G/H conformal field theory from gauged WZW model". Physics Letters B. 215 (1): 119–123. Bibcode:1988PhLB..215..119G. doi:10.1016/0370-2693(88)91081-7.
  10. ^ Gawędzki, K.; Kupiainen, A. (1989). "Coset construction from functional integrals". Nuclear Physics B. 320 (3): 625–668. Bibcode:1989NuPhB.320..625G. doi:10.1016/0550-3213(89)90015-1.
  11. ^ Gawedzki, Krzysztof (1999). "Conformal field theory: A case study". arXiv:hep-th/9904145.
  12. ^ Gawedzki, K.; Kupiainen, A. (1985). "Massless lattice theory: Rigorous control of a renormalizable asymptotically free model". Communications in Mathematical Physics. 99 (2): 197–252. doi:10.1007/BF01212281. S2CID 121722023.
  13. ^ Gawędzki, K.; Kupiainen, A. (1985). "Gross-Neveu model through convergent perturbation expansions". Communications in Mathematical Physics. 102 (1): 1–30. Bibcode:1985CMaPh.102....1G. doi:10.1007/BF01208817. S2CID 122720270.
  14. ^ Gawędzki, K. (1988). "Topological Actions in Two-Dimensional Quantum Field Theories". In: Gerard t'Hooft, Arthur Jaffe, G. Mack, Peter Mitter, Raymond Stora (eds.), Nonperturbative Quantum Field Theory, Cargèse Lectures 1987. NATO ASI Series. Vol. 185. pp. 101–141. doi:10.1007/978-1-4613-0729-7_5. ISBN 978-1-4612-8053-8.
  15. ^ "Kalb-Ramond Field". nLab.
  16. ^ Gawedzki, Krzysztof (1996). "Turbulence under a magnifying glass". arXiv:chao-dyn/9610003.
  17. ^ Gawedzki, Krzysztof; Kupiainen, Antti (1995). "Anomalous Scaling of the Passive Scalar". Physical Review Letters. 75 (21): 3834–3837. arXiv:chao-dyn/9506010. Bibcode:1995PhRvL..75.3834G. doi:10.1103/PhysRevLett.75.3834. PMID 10059743. S2CID 14446225.
  18. ^ Gawędzki, K. (1986). "Renormalization: from magic to mathematics". Proceedings. Vol. vol. 2. pp. 1278–1285. {{cite book}}: |volume= has extra text (help)
  19. ^ ""Fields, Fluids & Branes", Conference on Mathematical Physics on the Occasion of the 60th Birthday of Krzysztof Gawędzki". École Normale Supérieure de Lyon, France. 2007.
  20. ^ "From Field Theory to Non-Equilibrium, Conference on Mathematical Physics in honour of Krzysztof Gawędzki on the occasion of his 70th birthday". 2017.
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