Particles and Fields

Bibliographic Details
Other Authors: Semenoff, Gordon W. (Editor), Vinet, Luc (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1999, 1999
Edition:1st ed. 1999
Series:CRM Series in Mathematical Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Semenoff, Gordon W.  |e [editor] 
245 0 0 |a Particles and Fields  |h Elektronische Ressource  |c edited by Gordon W. Semenoff, Luc Vinet 
250 |a 1st ed. 1999 
260 |a New York, NY  |b Springer New York  |c 1999, 1999 
300 |a XVI, 489 p  |b online resource 
505 0 |a 4 Kp/Toda ?-Function in Terms of Free Fermions -- 5 ?-Function as a Group-Theoretical Quantity -- 6 Conclusion -- 7 References -- 6 Localization, Equivariant Cohomology, and Integration Formulas 211 -- 1 Symplectic Geometry -- 2 Equivariant Cohomology -- 3 Duistermaat-Heckman Integration Formula -- 4 Degeneracies -- 5 Equivariant Characteristic Classes -- 6 Loop Space -- 7 Example: Atiyah-Singer Index Theorem -- 8 Duistermaat-Heckman in Loop Space -- 9 General Integrable Models -- 10 Mathai-Quillen Formalism -- 11 Short Review of Morse Theory -- 12 Equivariant Mathai-Quillen Formalism -- 13 Equivariant Morse Theory -- 14 Loop Space and Morse Theory -- 15 Loop Space and Equivariant Morse Theory -- 16 Poincaré Supersymmetry and Equivariant Cohomology. -- 17 References -- 7 Systems of Calogero-Moser Type -- 1 Introduction -- 2 Classical NonrelativisticCalogero-Moser and Toda Systems -- 3 Relativistic Versions at the Classical Level -- 4 Quantum Calogero-Moser and Toda Systems --  
505 0 |a 1 Recent Developments in Affine Toda Quantum Field Theory -- 1 Introduction -- 2 Classical Integrability and Classical Data -- 3 Aspects of the Quantum Field Theory -- 4 Dual Pairs -- 5 A Word on Solitons -- 6 Other Matters -- 7 References -- 2 A Class of Fermi Liquids -- 1 Introduction -- 2 Four-Legged Diagrams -- 3 A Single-Slice Fermionic Cluster Expansion -- 4 References -- 3 Quantum Groups from Path Integrals -- 1 Classical Field Theory -- 2 Categories, Finite Groups, and Covering Spaces -- 3 Generalized Path Integrals -- 4 The Quantum Group -- 5 References -- 4 Half Transfer Matrices in Solvable Lattice Models -- 1 The Six-Vertex Model -- 2 The Antiferromagnetic Regime -- 3 Corner Transfer Matrix -- 4 Half Transfer Matrix -- 5 Commutation Relations -- 6 Correlation Functions -- 7 Two-Point Functions -- 8 Discussion -- 9 References -- 5 Matrix Models as Integrable Systems -- 1 Introduction -- 2 The Basic Example: Discrete 1-Matrix Model -- 3 Generalized Kontsevich Model --  
505 0 |a 5 Action-Angle Transforms -- 6 Eigenfunction Transforms -- 7 References -- 8 Discrete Gauge Theories -- 1 Broken Symmetry Revisited -- 2 Basics -- 3 Algebraic Structure -- 4 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
700 1 |a Vinet, Luc  |e [editor] 
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989 |b SBA  |a Springer Book Archives -2004 
490 0 |a CRM Series in Mathematical Physics 
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