Non local Thirring model with spin flipping interactions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, elsart, 18 pags., no figures

Scientific paper

10.1016/S0550-3213(01)00078-5

We extend a non local and non covariant version of the Thirring model in order to describe a many-body system with spin-flipping interactions By introducing a model with two fermion species we are able to avoid the use of non abelian bosonization which is needed in a previous approach. We obtain a bosonized expression for the partition function, describing the dynamics of the collective modes of this system. By using the self-consistent harmonic approximation we found a formula for the gap of the spin-charge excitations as functional of arbitrary electron-electron potentials.

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