Renormalization and Invariance in Quantum Field Theory

✍ Scribed by P. Butera, G. M. Cicuta, E. Montaldi (auth.), Eduardo R. Caianiello (eds.)

• Publisher: Springer US
• Year: 1974
• Tongue: English
• Leaves: 403
• Series: NATO Advanced Study Institutes Series 5
• Edition: 1
• Category: Library

✦ Synopsis

The subject matter of this Advanced Study Institute, which has been rendered possible by the generous support of NATO, gratefully acknow­ ledged here, is of central importance to quantum field theory today. The problems involved are both deep and complicated, to a point that perhaps does not find easily a parallel in other branches of theoret­ ical physics. From the first rule-of-thumb prescriptions on how to perform renormalization to the most recent advances--which brighten our hopes to find, eventually, in field theory indications as to the ultimate composition of matter--a great amount of progress has cer­ tainly been made. We were fortunate to have among us many of the people who have most contributed to past and recent developments. Although clues that point to what to do next are clearer now than might have been expected only a few years ago, much hard work is still ahead. It is hoped that both our meeting, which brought to­ gether leaders in the field as well as bright and eager beginners, and the present volume, based on the NATO meeting, may be useful as a mise-a-point and as an up-to-date reference book for researchers interested in the field.

✦ Table of Contents

Front Matter....Pages i-viii
Dimensional Renormalization....Pages 1-13
A New Approach to Divergent Integrals....Pages 15-27
Branching Equations of I and II Type and Their Connections with Finite Equations of Motion and the Callan-Symanzik Equation....Pages 29-44
Nelson’s Symmetry at Work: the Infinite Volume Behavior of the Vacuum for Two-Dimensional Self-Coupled Bose Fields....Pages 45-59
Path Integrals and Gauge Theories....Pages 61-74
Renormalizable Models with Broken Symmetries....Pages 75-122
Group Theoretical Approach to Conformal Invariant Quantum Field Theory....Pages 123-157
Use of Invariant Transformations in Problems of Superconductivity....Pages 159-188
Analytic Renormalization of the σ-Model....Pages 189-217
Recent Progress on Computational Methods in Field Theory....Pages 219-223
Short Review of Small-Distance-Behaviour Analysis....Pages 225-245
“Diagrammar” and Dimensional Renormalization....Pages 247-262
Quantum Gravity as a Gauge Field Theory....Pages 263-274
Self-Consistent Quantum Field Theory and Symmetry Breaking....Pages 275-328
The Present Status of the Computing Methods in Quantum Electrodynamics....Pages 329-366
Relativistic Strings and Supergauges....Pages 367-381
Application of Gauge Theories to Weak and Electromagnetic Interactions....Pages 383-398
Back Matter....Pages 399-404

✦ Subjects

Theoretical, Mathematical and Computational Physics