MathPhys Odyssey 2001: Integrable Models and Beyond In Honor of Barry M. McCoy
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2002
|
| Schriftenreihe: | Progress in Mathematical Physics
23 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume is dedicated to Barry M. McCoy on the occasionofhis sixtieth birthday. Barry McCoy has led the research on integrable models in statistical mechanics and quantumfieldtheoryfor morethan 30years. Hisbook,cowrittenwithT.T.Wu, The Two dimensional/sing Model, (HarvardUniversity)containsallthebasic resultsontheIsing model obtained by the early 1970s. However, McCoy'sjointpaper with Wu, Tracy and Barouch, Spin-spin correlation functions for the two-dimensional/sing model: Exact results in the scaling region (Physical Review B13, 316-374, 1976), was a giant step beyond the book. A remarkable connection between the two-point scaling correlation functions and the Painleve transcendents was found. This work made an enormous impact on mathematical physics in the last quarter of the 20th century. It gave the first nontrivial exampleofinteracting field theory in which the Green function can be written explicitly in terms of special functions satisfying nonlinear differential equations. Later in the 1980s, an extensive list of massless field theories was added in the innovation of conformal field theory, in which the Green functions are characterized by linear differential equationsofthe hypergeometric type. However,evenalmost30yearsaftertheirwork, theIsingmodel isessentiallytheunique casewhereall theGreenfunctionsofmassivefield theoryarecharacterizedbynonlinear differential equations |
| Beschreibung: | 1 Online-Ressource (XI, 476 p) |
| ISBN: | 9781461200871 9781461266051 |
| DOI: | 10.1007/978-1-4612-0087-1 |
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Datensatz im Suchindex
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| spelling | Kashiwara, Masaki Verfasser aut MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy edited by Masaki Kashiwara, Tetsuji Miwa Boston, MA Birkhäuser Boston 2002 1 Online-Ressource (XI, 476 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematical Physics 23 This volume is dedicated to Barry M. McCoy on the occasionofhis sixtieth birthday. Barry McCoy has led the research on integrable models in statistical mechanics and quantumfieldtheoryfor morethan 30years. Hisbook,cowrittenwithT.T.Wu, The Two dimensional/sing Model, (HarvardUniversity)containsallthebasic resultsontheIsing model obtained by the early 1970s. However, McCoy'sjointpaper with Wu, Tracy and Barouch, Spin-spin correlation functions for the two-dimensional/sing model: Exact results in the scaling region (Physical Review B13, 316-374, 1976), was a giant step beyond the book. A remarkable connection between the two-point scaling correlation functions and the Painleve transcendents was found. This work made an enormous impact on mathematical physics in the last quarter of the 20th century. It gave the first nontrivial exampleofinteracting field theory in which the Green function can be written explicitly in terms of special functions satisfying nonlinear differential equations. Later in the 1980s, an extensive list of massless field theories was added in the innovation of conformal field theory, in which the Green functions are characterized by linear differential equationsofthe hypergeometric type. However,evenalmost30yearsaftertheirwork, theIsingmodel isessentiallytheunique casewhereall theGreenfunctionsofmassivefield theoryarecharacterizedbynonlinear differential equations Mathematics Group theory Combinatorics Group Theory and Generalizations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Integrables System (DE-588)4114032-1 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)4016928-5 Festschrift gnd-content Statistische Mechanik (DE-588)4056999-8 s Integrables System (DE-588)4114032-1 s 3\p DE-604 Quantenfeldtheorie (DE-588)4047984-5 s 4\p DE-604 Miwa, Tetsuji Sonstige oth https://doi.org/10.1007/978-1-4612-0087-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kashiwara, Masaki MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy Mathematics Group theory Combinatorics Group Theory and Generalizations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik Quantenfeldtheorie (DE-588)4047984-5 gnd Statistische Mechanik (DE-588)4056999-8 gnd Integrables System (DE-588)4114032-1 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4056999-8 (DE-588)4114032-1 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy |
| title_auth | MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy |
| title_exact_search | MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy |
| title_full | MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy edited by Masaki Kashiwara, Tetsuji Miwa |
| title_fullStr | MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy edited by Masaki Kashiwara, Tetsuji Miwa |
| title_full_unstemmed | MathPhys Odyssey 2001 Integrable Models and Beyond In Honor of Barry M. McCoy edited by Masaki Kashiwara, Tetsuji Miwa |
| title_short | MathPhys Odyssey 2001 |
| title_sort | mathphys odyssey 2001 integrable models and beyond in honor of barry m mccoy |
| title_sub | Integrable Models and Beyond In Honor of Barry M. McCoy |
| topic | Mathematics Group theory Combinatorics Group Theory and Generalizations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik Quantenfeldtheorie (DE-588)4047984-5 gnd Statistische Mechanik (DE-588)4056999-8 gnd Integrables System (DE-588)4114032-1 gnd |
| topic_facet | Mathematics Group theory Combinatorics Group Theory and Generalizations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik Quantenfeldtheorie Statistische Mechanik Integrables System Aufsatzsammlung Festschrift |
| url | https://doi.org/10.1007/978-1-4612-0087-1 |
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