%0 Journal Article %T Non local Thirring model with spin flipping interactions %A An¨ªbal Iucci %A Kang Li %A Carlos M. Na¨®n %J Physics %D 2000 %I arXiv %R 10.1016/S0550-3213(01)00078-5 %X 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. %U http://arxiv.org/abs/hep-th/0012269v1