Path-integral bosonization of a non-local interaction and its application to the study of 1D many-body systems

C. M. NAÓN; M.C. VON REICHENBACH; M.L. TROBO

NUCLEAR PHYSICS B

Elsevier

Año: 1995 vol. 435 p. 567 - 584

0550-3213

We extend the path-integral approach to bosonization to the case in which thefermionic interaction is non-local. In particular we obtain a completely bosonized version of a Thirring-like model with currents coupled by general (symmetric) bilocal potentials.The model contains the Tomonaga-Luttinger model as a special case; exploiting this fact we study the basic properties of the 1-d spinless fermionic gas: fermionic correlators,the spectrum of collective modes, etc. Finally we discuss the generalization of our procedure to the non-Abelian case, thus providing a new tool to be used in the study of 1-d many-bodysystems with spin-flipping interactions.