This book contains reprints of papers on the method as used in these fields. The papers range from the classic work of Tomonaga in the 1950's on one-dimensional electron gases, through the discovery of fermionic solitons in the 1970's, to integrable systems and bosonization on Riemann surfaces. A four-chapter pedagogical introduction by the editor should make the book accessible to graduate students and experienced researchers alike.

Contents:

• Remarks on Bloch's Method of Sound Waves Applied to Many Fermion Problems (S Tomonaga)
• Particle States of a Quantized Meson Field (T H R Skyrme)
• Soliton Operators for the Quantized Sine-Gordon Equation (S Mandelstam)
• Theory of Non-Abelian Goldstone Bosons in Two Dimensions (A M Polyakov & P Weigman)
• Non-Abelian Bosonization in Two Dimensions (E Witten)
• Chiral Bosonization, Determinants, and the String Partition Function (E Verlinde & H Verlinde)
• Bosonization on Higher Genus Riemann Surfaces (L Alvarez-Gaume et al.)
• Transformation Groups for Soliton Equations (E Date et al.)
• Coherent-State Path Integrals for Loop Groups and Non-Abelian Bosonization (M Stone)
• and other papers