A. Dettki | Searcharxiv

arXiv1993

Conformal- and Thermodynamic Properties of a Family of Thirring-like Models

We investigate Thirring-like models containing fermionic and scalar fields propagating in 2-dimensional space time. The corresponding conformal algebra is studied and we disprove a conjecture relating the finite size effects to the central charge. Some new results concerning the fermionic determinant on the torus with chirally twisted boundary conditions and a chemical potential are presented. In particular we show how the thermodynamics of the Thirring model depends on the current-current interaction.

hep-th↗

arXiv1993

Generalized Gauged Thirring Model on Curved Space-Times

We analyse the interacting theory of charged fermions, scalars, pseuso-scalars and photons propagating in 2-dimensional curved spacetime in detail. For certain values of the coupling constants the theory reduces to the gauged Thirring model and for others the Schwinger model incurved spacetime. It is shown that the interaction of the fermions with the pseudo-scalars shields the electromagnetic interaction, and that the non-minimal coupling of the scalars to the gravitational field amplifies the Hawking radiation. We solve the finite temperature and density model by using functional techniques and in particular derive the exact equation of state. The explicit temperature and curvature dependence of the chiral condensate is found. When the electromagnetic field is switched off the model reduces to a conformal field theory. We determine the physically relevant expectation values and conformal weights of the fundamental fields in the theory.

hep-th↗