Particles and Fields

✍ Scribed by E. Corrigan (auth.), Gordon Semenoff, Luc Vinet (eds.)

Publisher: Springer-Verlag New York
Year: 1999
Tongue: English
Leaves: 500
Series: CRM Series in Mathematical Physics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The focus of this volume is on quantum field theory: inegrable theories, statistical systems, and applications to condensed-matter physics. It covers some of the most significant recent advances in theoretical physics at a level accessible to advanced graduate students. The contributions, each by a noted researcher, dicuss such topics as: some remarkable features of integrable Toda field theories (E. Corrigan), properties of a gas of interacting Fermions in a lattice of magnetic ions (J. Feldman &. al.), how quantum groups arise in three-dimensional topological quantum field thory (D. Freed), a method for computing correlation functions of solvable lattice models (T. Miwa), matrix models discussed from the point of view of integrable systems (A. Morozov), localization of path integrals in certain equivariant cohomologies (A. Niemi), Calogero-Moser systems (S. Ruijsenaars), planar gauge theories with broken symmetries (M. de Wild Propitius & F.A. Bais), quantum-Hall fluids (A. Capelli & al.), spectral theory of quantum vortex operators (P.I. Ettinghoff).

✦ Table of Contents

Front Matter....Pages i-xvi
Recent Developments in Affine Toda Quantum Field Theory....Pages 1-34
A Class of Fermi Liquids....Pages 35-62
Quantum Groups from Path Integrals....Pages 63-107
Half Transfer Matrices in Solvable Lattice Models....Pages 109-126
Matrix Models as Integrable Systems....Pages 127-210
Localization, Equivariant Cohomology, and Integration Formulas....Pages 211-250
Systems of Calogero-Moser Type....Pages 251-352
Discrete Gauge Theories....Pages 353-439
Quantum Hall Fluids as W 1+∞ Minimal Models....Pages 441-468
On the Spectral Theory of Quantum Vertex Operators....Pages 469-485
Back Matter....Pages 487-489

✦ Subjects

Theoretical, Mathematical and Computational Physics

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