Cm. Naon et al., PATH-INTEGRAL BOSONIZATION OF A NONLOCAL INTERACTION AND ITS APPLICATION TO THE STUDY OF 1D MANY-BODY SYSTEMS, Nuclear physics. B, 435(3), 1995, pp. 567-584
We extend the path-integral approach to bosonization to the case in wh
ich the fermionic interaction is non-local. In particular we obtain a
completely bosonized version of a Thirring-like model with currents co
upled by general (symmetric) bilocal potentials. The model contains th
e Tomonaga-Luttinger model as a special case; exploiting this fact we
study the basic properties of the Id spinless fermionic gas: fermionic
correlators, the spectrum of collective modes, etc. Finally, we discu
ss the generalization of our procedure to the non-abelian case, thus p
roviding a new tool to be used in the study of Id many-body systems wi
th spin-flipping interactions.