Bosonization And Strongly Correlated Systems
by Alexei M. Tsvelik /
1999 / English / DjVu
3.5 MB Download
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-1/2 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. This book will be an excellent
reference for researchers and graduate students working in
theoretical physics, condensed matter physics and field theory.
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-1/2 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. This book will be an excellent
reference for researchers and graduate students working in
theoretical physics, condensed matter physics and field theory.