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

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

1994-09-15

arxiv.org/abs/hep-th/9409085v1

Nucl.Phys. B435 (1995) 567-584

Physics

High Energy Physics

High Energy Physics - Theory

26 pages LATEX, La Plata 94-09

Scientific paper

10.1016/0550-3213(94)00534-L

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.

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