Finite-temperature bosonization

Finite-temperature properties of a non-Fermi-liquid system is one of the mo st challenging problems in the current understanding of strongly correlated electron systems. The paradigmatic arena for studying non-Fermi liquids is in one dimension, where the concept of a Luttinger liquid has arisen. The existence of a critical point at zero temperature in one-dimensional system s, and the fact that experiments are all undertaken at finite temperatures, implies a need for these one-dimensional systems to be examined at finite temperatures. Accordingly, we extended the well-known bosonization method o f one-dimensional electron systems to finite temperatures. We have used thi s new bosonization method to calculate finite-temperature asymptotic correl ation functions for linear fermions, the Tomonaga-Luttinger model. and the Hubbard model.