Bosonization

By: Michael Stone (Editor)

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Hardcover | 1 December 1994

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Hardcover
548 Pages

Dimensions(cm)
26.67 x 20.32 x 2.54

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Bosonization is a useful technique for studying systems of interacting fermions in low dimensions. It has applications in both particle and condensed matter physics.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.

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Non-Fiction Science Physics Nuclear Physics Materials & States of Matter Condensed Matter Physics including Liquid State & Solid State Physics Particle & High-Energy Physics Booktopia Publisher Services World Scientific Publishing

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
Table of Contents provided by Blackwell. All Rights Reserved.

Bosonization

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