Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-09-14
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, latex, no figures
Scientific paper
Using the path-integral bosonization procedure at Finite Temperature we study the equivalence between a massive Thirring model with non-local interaction between currents (NLMT) and a non-local extension of the sine-Gordon theory (NLSG). To this end we make a perturbative expansion in the mass parameter of the NLMT model and in the cosine term of the NLSG theory in order to obtain explicit expressions for the corresponding partition functions. We conclude that for certain relationship between NLMT and NLSG potentials both the fermionic and bosonic expansions are equal term by term. This result constitutes a generalization of Coleman's equivalence at T=0, when considering a Thirring model with bilocal potentials in the interaction term at Finite Temperature. The study of this model is relevant in connection with the physics of strongly correlated systems in one spatial dimension. Indeed, in the language of many-body non-relativistic systems, the relativistic mass term can be shown to represent the introduction of backward-scattering effects.
Manias M. V.
Trobo Marta L.
No associations
LandOfFree
Equivalence between a bosonic theory and a massive non-local Thirring model at Finite Temperature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Equivalence between a bosonic theory and a massive non-local Thirring model at Finite Temperature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence between a bosonic theory and a massive non-local Thirring model at Finite Temperature will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-724824