CONTENTS
CHAPTER 5 QUARK CONFINEMENT,
SUPERFLUIDITY, ELASTICITY.
CRITERIA AND ANALOGIES
73
CHAPTER 6 TOPOLOGY OF GAUGE FIELDS
AND RELATED PROBLEMS
85
6.1 Instantons for ^ = 2, N = 3n-Fields
85
6.2 Instantons in Non-Abelian Gauge
Theories
92
6.3 Qualitative Effects of Instantons
99
CHAPTER 7 ANALOGIES BETWEEN GAUGE AND
CHIRAL FIELDS. LOOP DYNAMICS
111
7.1 Non-Abelian Phase Factor
111
7.2 Quantum Theory of Loops
119
CHAPTER 8 THE LARGE N EXPANSION
125
8.1 0(N) (7-Model
125
8.2 The Principal Chiral Field for SU(N)
134
8.3 The
^n-model
139
8.4 Non-Abelian Gauge Theory
144
CHAPTER 9 QUANTUM STRINGS AND RANDOM
SURFACES
151
9.1 Mathematical Preliminaries: Summation
of Random Paths
151
9.2 Measures in the Space of Metrics and
Diffeomorphisms
157
9.3 Closed Paths
164
9.4 General Theory of Random
Hypersurfaces
169
9.5 Two-Dimensional Surfaces. Geometrical
Introduction
176
9.6 Computation of Functional Integrals
185
9.7 Scattering Amplitudes
192
9.8 Scattering Amplitudes and the Operator
Product Expansion
195
9.9 The Energy-Momentum Tensor in
Conformal Quantum Field Theory
203
9.10 Physical States of String Theory in the
Critical Dimension
212
9.11 Fermi Particles
222