Generalized Thirring Models

Details Generalized Thirring Models Generalized Thirring Models

1995-08-25

arxiv.org/abs/hep-th/9508142v1

Annals Phys. 249 (1996) 380-429

Physics

High Energy Physics

High Energy Physics - Theory

LaTex 55 pages, 2 figures, extended version of our previous work (hep-th/9308067)

Scientific paper

10.1006/aphy.1996.0077

The Thirring model and various generalizations of it are analyzed in detail. The four-Fermi interaction modifies the equation of state. Chemical potentials and twisted boundary conditions both result in complex fermionic determinants which are analyzed. The non-minimal coupling to gravity does deform the conformal algebra which in particular contains the minimal models. We compute the central charges, conformal weights and finite size effects. For the gauged model we derive the partition functions and the explicit expression for the chiral condensate at finite temperature and curvature. The Bosonization in compact curved space-times is also investigated.

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