Bosonization and strongly correlated systems

Alexander O. Gogolin, Alexander A. Nersesyan, Alexei M. Tsvelik9780521590310, 0-521-59031-0

Bosonization is an important technique that represents one of the most powerful nonperturbative approaches to many-body systems currently available. The first part of this book examines its technical aspects, including 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 discusses 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 excellent reference will interest researchers and graduate students working in theoretical physics and field theory.