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Mathematical Quantum Field Theory and Related Topics
Edited by: Joel S. Feldman and Lon M. Rosen
A co-publication of the AMS and Canadian Mathematical Society.
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Conference Proceedings, Canadian Mathematical Society
1988; 261 pp; softcover
Volume: 9
ISBN-10: 0-8218-6014-3
ISBN-13: 978-0-8218-6014-4
List Price: US$49
Member Price: US$39.20
Order Code: CMSAMS/9
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Aimed at researchers and advanced graduate students in mathematical physics, this book constitutes the proceedings of a conference on mathematical quantum field theory and related topics. The conference was held at the Centre de Recherches Mathéematiques of the Université de Montréal in September 1987. With articles by some of the top researchers in the field, this book will bring readers to the leading edge of research in a number of areas of mathematical physics.

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

Table of Contents

  • A. S. Wightman -- \(\phi^4 _\nu\) and generalized Borel summability
  • J. Bricmont and A. Kupiainen -- The renormalization group and the random field Ising model
  • P. Federbush -- On the quantum Yang-Mills field theory
  • R. Froese -- Commutator analysis on non-compact manifolds
  • H. Tasaki -- Critical phenomena and critical dimension in percolation
  • J. Feldman -- The large order behaviour of \(\Phi^4\) perturbation theory
  • L. Rosen -- Perturbative renormalization
  • D. R. Masson -- Difference equations revisited
  • J. Z. Imbrie -- Directed polymers in a random environment
  • T. Kennedy -- Isotropic quantum antiferromagnets with valence-bond ground states
  • H. Koch and P. Wittwer -- The unstable manifold of a nontrivial RG fixed point
  • R. Jackiw -- Schrödinger picture for boson and fermion quantum field theories
  • T. Balaban, M. O'Carroll, and R. Schor -- Infrared asymptotic freedom for perturbations of the free lattice electromagnetic field
  • J. Dimock -- Infrared problems for \((\)QED\()_4\) and \((\)Yukawa\()_4\) on a lattice
  • T. R. Hurd -- Renormalization of massless quantum electrodynamics
  • D. Iagolnitzer -- Scattering and short-distance properties in field theory models
  • D. C. Brydges -- The role of the classical action in cluster expansions
  • L. Gross -- The Maxwell equations for Yang-Mills theory
  • C. King -- Meson masses in lattice QCD at strong coupling
  • M. N. Sanielevici and G. W. Semenoff -- Diffeomorphism anomalies in two dimensions from Berry's curvature
  • I. M. Sigal -- Life-time of stark resonances
  • A. Jaffe -- Heat kernel regularization and infinite dimensional analysis
  • R. Douglas and A. Rutherford -- Berry phase and compact transformation groups
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