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 Call number: SPRINGER-1999-9781461214106:ONLINE Show nearby items on shelf Title: Particles and Fields Author(s): Date: 1999 Size: 1 online resource (489 p.) Note: 10.1007/978-1-4612-1410-6 Contents: 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 -- 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 Nonrelativistic Calogero-Moser and Toda Systems -- 3 Relativistic Versions at the Classical Level -- 4 Quantum Calogero-Moser and Toda Systems -- 5 Action-Angle Transforms -- 6 Eigenfunction Transforms -- 7 References -- 8 Discrete Gauge Theories -- 1 Broken Symmetry Revisited -- 2 Basics -- 3 Algebraic Structure -- 4 $${\overline D _2}$$ Gauge Theory -- 5 Concluding Remarks and Outlook -- 6 References -- 9 Quantum Hall Fluids as W1+? Minimal Models -- 1 Introduction -- 2 Dynamical Symmetry and Kinematics of Incompressible Fluids -- 3 Existing Theories of Edge Excitations and Experiments -- 4 W1+? Minimal Models -- 5 Further Developments -- 6 References -- 10 On the Spectral Theory of Quantum Vertex Operators 469 Pavel I. Etingof -- 1 Basic Definitions -- 2 Spectral Properties of Vertex Operators -- 3 The Semi-Infinite Tensor Product Construction -- 4 Computation of the Leading Eigenvalue and Eigenvector -- 5 References ISBN: 9781461214106 Series: eBooks Series: SpringerLink (Online service) Series: Springer eBooks Keywords: Physics , Physics , Theoretical, Mathematical and Computational Physics Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE