Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-08-20
Nucl.Phys. B485 (1997) 665-684
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, Latex file, no figures
Scientific paper
10.1016/S0550-3213(96)00629-3
We apply a recently proposed path-integral approach to non-local bosonization to a Thirring-like system modeling non-relativistic massless particles interacting with localized fermionic impurities. We consider forward scattering processes described by symmetric potentials including interactions between charge, current, spin and spin-current densities. In the general (spin-flipping) problem we obtain an effective action for the collective modes of the model at T = 0, containing WZW-type terms. When spin-flipping processes are disregarded the structure of the action is considerably simplified, allowing us to derive exact expressions for the dispersion relations of collective modes and two point fermionic correlation functions as functionals of the potentials. Finally, as an example, we compute the momentum distribution for the case in which electrons and impurities are coupled through spin and spin-current densities only. The formulae we get suggest that our formalism could be useful in order to seek for a mechanism able to restore Fermi liquid behavior.
Naón Carlos M.
Trobo Marta L.
von Reichenbach M. C.
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