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

1995; Elsevier BV; Volume: 435; Issue: 3 Linguagem: Inglês

10.1016/0550-3213(94)00534-l

1873-1562

Carlos Naón, María Cecilia von Reichenbach, Marta L. Trobo,

Physics of Superconductivity and Magnetism

We extend the path-integral approach to bosonization to the case in which the fermionic 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-body systems with spin-flipping interactions.