  We discuss the technique of bosonization for studying systems of interacting
fermions in one dimension. After briefly reviewing the low-energy properties of
Fermi and Luttinger liquids, we present some of the relations between bosonic
and fermionic operators in one dimension. We use these relations to calculate
the correlation functions and the renormalization group properties of various
operators for a system of spinless fermions. We then apply the methods of
bosonization to study the Heisenberg antiferromagnetic spin 1/2 chain, the
Hubbard model in one dimension, and transport in clean quantum wires and in the
presence of isolated impurities.
