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. The dependence of expectation values on the temperature, particle density, space region, imposed boundary conditions or external fields is of importance in all the branches of physics [1]. In the present work we address these questions for the 2-dimensional model defined by the action S = ∫ √−g [ iψ̄γ(∇μ − ig1∂μλ+ ig2η ν μ ∂νφ)ψ + g(∂μφ∂νφ+ ∂μλ∂νλ)− g3Rλ ]