Quantum Field Theory and String Theory

✍ Scribed by I. Antoniadis (auth.), Laurent Baulieu, Vladimir Dotsenko, Vladimir Kazakov, Paul Windey (eds.)

• Publisher: Springer US
• Year: 1995
• Tongue: English
• Leaves: 416
• Series: NATO ASI Series 328
• Edition: 1
• Category: Library

✦ Synopsis

The Cargese Workshop "Quantum Field Theory and String Theory" was held from May 10 to May 21, 1993. The broad spectrum of the work presented at the Workshop was the reflec­ tion of a time of intensive search for new ways of solving some of the most fun­ damental problems in string theory, quantum gravity and non-perturbative field theory. A number of talks indicated the emergence of new promising domains of investigation. It is this very diversity of topics which, in our opinion, represents one of the most attractive features of the present volume which we hope will provide a good orientation in the abundant flow of ideas and publications in modern quantum field theory. Many contributions to the present proceedings are concerned with two di­ mensional quantum field theory. The continuous advances in the domain of two dimensional integrable theories on the lattice as well as in the continuum, including conformal field theories, Liouville field theory and matrix models of two dimensional quantum gravity are very well represented. Other papers address physically realistic (and therefore very complicated) problems like de­ veloped turbulence, the Hofstadter problem, higher dimensional gravity and phenomenological strings. A new elegant class of topological field theories is presented. New ideas in the string representation of multicolor quantum chromo dynamics were widely discussed at the Workshop, more particularly the example of the exactly solvable two dimensional case.

✦ Table of Contents

Front Matter....Pages i-x
Fractal Structure In 4D Gravity....Pages 1-9
A One Dimensional Ideal Gas of Spinons, or Some Exact Results on the XXX Spin Chain with Long Range Interaction....Pages 11-22
Kodaira-Spencer Theory of Gravity....Pages 23-38
3D Gravity and Gauge Theories....Pages 39-57
On the W -Gravity Spectrum and Its G -Structure....Pages 59-70
Light-Cone Quantisation of Matrix Models at c > 1....Pages 71-80
Multicritical Points of 2-Matrix Models....Pages 81-86
The Super Self-Dual Matreoshka....Pages 87-98
The Phenomenology of Strings and Clusters in the 3- d Ising Model....Pages 99-117
Conformal Field Theory Techniques in Large N Yang-Mills Theory....Pages 119-135
Introduction to Differential W-Geometry....Pages 137-150
Topological Strings and QCD in Two Dimensions....Pages 151-163
Continuum QCD 2 In Terms of Discrete Random Surfaces with Local Weights....Pages 165-184
Strings and Causality....Pages 185-191
Loop Equation and Area Law in Turbulence....Pages 193-231
The Two-Dimensional String as a Topological Field Theory....Pages 233-247
Linear Systems for 2D Poincaré Supergravities....Pages 249-259
Quantization of Mirror Symmetry....Pages 261-272
Integrable QFT 2 Encoded on Products of Dynkin Diagrams....Pages 273-284
Remarks on Topological String Theories....Pages 285-303
Hamiltonian Reduction of BRST Complex and N=2 Susy....Pages 305-333
Lattice Models and N = 2 Supersymmetry....Pages 335-377
Canonical Construction of Liouville Field Operators with Arbitrary Spin....Pages 379-397
Bethe Ansatz for the Bloch Particle in Magnetic Field....Pages 399-416
Back Matter....Pages 417-420

✦ Subjects

Nuclear Physics, Heavy Ions, Hadrons;Theoretical, Mathematical and Computational Physics