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## Bosonization and Strongly Correlated Systems (Softcover)"This book will be an excellent reference for researchers and graduate students working in theoretical physics, condensed matter physics and field theory." — From the back cover ## $55.62 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** The book is in very good condition, with clean pages. There is a slight dent in the upper front portion of the spine and cover.

## Description

From the back cover: “This volume provides a detailed account of bosonization. This important technique represents one of the most powerful nonperturbative approaches to many-body systems currently available.

“The first part of the book examines the technical aspects of bosonization. Topics include one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories, Bose-Einstein condensation in two dimensions, non-Abelian bosonization, and the Ising and WZNW models. The second part presents applications of the bosonization technique to realistic models including the Tomonaga-Luttinger liquid, spin liquids in one dimension and the spin-½ Heisenberg chain with alternating exchange. The third part addresses the problems of quantum impurities. Chapters cover potential scattering, the X-ray edge problem, impurities in Tomonaga-Luttinger liquids and the multi-channel Kondo problem.”

**BRIEF CONTENTS**

- Preface
- Acknowledgments
- PART 1: Technical aspects of bosonization
- 1 – A simple case of Bose-Fermi equivalence: Jordan-Wigner transformation
- 2 – One-dimensional fermions. States near the Fermi points
- 3 – Gaussian model. Lagrangian formulation
- 4 – Conformal symmetry and finite size effects
- 5 – Virasoro algebra
- 6 – Structure of Hilbert space in conformal theories
- 7 – Current (Kac-Moody) algebras: the first assault
- 8 – Relevant and irrelevant fields
- 9 – Bose-Einstein Condensation in two dimensions; Beresinskii-Kosterlitz-Thouless transition
- 10 – The sine-Gordon model
- 11 – Spin
*S*= 1/2 Heisenberg-Ising chain - 12 – Ising model
- 13 – More about the WZNW model
- 14 – Non-Abelian bosonization
- PART II: Application of the bosonization technique to physical models in (1 + 1)-dimensions
- 15 – Interacting fermions with spin
- 16 – Spin-1/2 Tomonaga-Luttinger liquid
- 17 – Instabilities of a Tomonaga-Luttinger liquid
- 18 – Interacting fermions with broken spin rotational symmetry
- 19 – What may happen with a Tomonaga-Luttinger liquid in three dimensions
- 20 – Two weakly coupled Tomonaga-Luttinger liquids; spinless case
- 21 – Spin liquids in one dimension: example of spin ladders
- 22 – Spin-1/2 Heisenberg chain with alternating exchange
- 23 – Superconductivity in a doped spin liquid
- 24 – Edge states in the quantum Hall effect
- PART III: Single impurity problems
- 25 – Potential scattering
- 26 – X-ray edge problem (Fermi liquids)
- 27 – Impurities in a Tomonaga-Luttinger liquid
- 28 – Multi-channel Kondo problem
- General bibliography
- Index

## Details

- SKU:
- 1799
- Author:
- Gogolin, A. O. and A. A. Nersesyan and A. M. Tsvelik
- Publisher:
- Cambridge University Press
- Publish Date:
- First paperback edition 2004
- Format:
- Softcover
- Weight (pounds):
- 2.16
- Dimensions (W”xL”xH”):
- 7.5″x9.7″x1.1″
- ISBN-13:
- 9780521617192
- ISBN-10:
- 0521617197

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