PATH-INTEGRAL BOSONIZATION OF A NONLOCAL INTERACTION AND ITS APPLICATION TO THE STUDY OF 1D MANY-BODY SYSTEMS

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.