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.