This book is the first volume of the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The seminar was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The subject of the first session, quantum field theory and many-body theory, is covered in the present volume; papers from the second session, on Schrödinger operators, are in volume 2. Each session featured a series of minicourses, consisting of approximately four one-hour lectures, designed to introduce students to current research in a particular area. In addition, about thirty speakers gave one-hour expository lectures. With contributions by some of the top experts in the field, this book provides an overview of the state of the art in mathematical quantum field and many-body theory.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

Readership

Advanced graduate students and mathematical physicists.

Table of Contents

• D. C. Brydges, J. Dimock, and T. R. Hurd -- Weak perturbations of Gaussian measures
• J. S. Feldman, J. Magnen, V. Rivasseau, and E. Trubowitz -- Fermionic many-body models
• J. M. Frohlich and K. Gawedzki -- Conformal field theory and geometry of strings
• V. Rivasseau -- Cluster expansions with small/large field conditions
• A. Patrascioiu and E. Seiler -- Percolation theory and the phase structure of two-dimensional classical ferromagnets
• P. Federbush -- Navier and Stokes meet the wavelet, II
• D. C. Brydges, J. Dimock, and T. R. Hurd -- Applications of the renormalization group
• J. Z. Imbrie -- End-to-end distance for a four-dimensional self-avoiding walk
• T. Kennedy -- The Falicov-Kimball model of interacting electrons
• C. K. King -- Radiative decay of an atom in a massless quantised field
• G. Felder and C. Wieczerkowski -- The Knizhnik-Zamolodchikov-Bernard equation on the torus
• A. S. Wightman -- Dual potentials of free Dirac currents as exactly soluble models