| Preface | |
| Introduction | p. 1 |
| Bosonization in Space-Time | p. 4 |
| Two Solvable Models | p. 15 |
| Some Physical Applications | p. 29 |
| Bosonization in Hilbert Space | p. 47 |
| Remarks on Bloch's method of sound waves applied to many fermion problems | p. 63 |
| Particle states of a quantized meson field | p. 89 |
| Exact solution of a many fermion system and its associated boson field | p. 98 |
| Tomonaga's model and the threshold singularity of X-ray spectra in metals | p. 107 |
| New wave-operator identity applied to the study of persistent currents in one dimension | p. 111 |
| Single particle states, Kohn anomaly, and pairing fluctuations in one dimension | p. 115 |
| Backward scattering in the one-dimensional electron gas | p. 124 |
| Quantum sine-Gordon equation as the massive Thirring model | p. 128 |
| Soliton operators for the quantized sine-Gordon equation | p. 138 |
| Quantum solitons which are SU(N) fermions | p. 143 |
| Bosonization of the SU(N) Thirring models | p. 159 |
| 'Luttinger liquid' theory of one-dimensional quantum fluids: I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas | p. 170 |
| Theory of non-abelian Goldstone bosons in two dimensions | p. 195 |
| Non-abelian bosonization in two dimensions | p. 201 |
| On the equivalence between the Wess Zumino action and free bosons in two dimensions | p. 219 |
| The Wess-Zumino action in two dimensions and non-abelian bosonization | p. 224 |
| Abelian and non-abelian bosonization in the path integral framework | p. 229 |
| Calculation of a propagator on a Riemann surface | p. 239 |
| Chiral bosonization, determinants, and the string partition function | p. 244 |
| Chiral bosonization on a Riemann surface | p. 284 |
| Theta functions, modular invariance, and strings | p. 292 |
| Bosonization on higher genus Riemann surfaces | p. 332 |
| Bosonization in arbitrary genus | p. 382 |
| Operator formalism of Riemann surfaces | p. 389 |
| Loop groups, grassmanians and string theory | p. 397 |
| Path integrals for the nuclear many-body Problem | p. 405 |
| Transformation groups for soliton equations | p. 427 |
| Quantization of symplectic orbits of compact Lie groups by means of the functional integral | p. 508 |
| Coherent-state path integrals for loop groups and non-abelian bosonization | p. 524 |
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