Gauge Fields and StringsBased on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory. |
Contents
| 1 | |
Asymptotic Freedom and The Renormalization Group ... | 19 |
The Strong Coupling Expansion | 33 |
Instantons in Abelian Systems | 49 |
Quark Confinement Superfluidity Elasticity Criteria and Analogies | 73 |
Topology of Gauge Fields and Related Problems | 85 |
Analogies between Gauge and Chiral Fields Loop Dynamics | 111 |
The Large N Expansion | 125 |
Quantum Strings and Random Surfaces | 151 |
Attempt at a Synthesis | 253 |
| 289 | |
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Common terms and phrases
according action amplitude appears approximation becomes bosonic boundary Chapter charge classical closed complex compute conclude condition conformal connected consider constant contains continuum limit contribution correlation functions corresponding coupling critical defined depends derivation described determined dimension dimensional discuss divergence easy effective action energy equal equation excitations exists expansion expect expression fact factor fermions field finite formula function gauge given gives Hence identity implies important instantons integral interaction interesting introduce invariant Ising lattice leading length limit lines loop mass massless means metric modes notice obtain operator particles partition function path phase physical possible present problem properties quantum quantum mechanics reason relation replaced representation result solution space string structure Substituting surface symmetry tensor theory tion transformation transition variables vector zero