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

TL;DR

This paper explores the conformal and thermodynamic properties of a class of Thirring-like models with fermionic and scalar fields in two dimensions, challenging existing conjectures and presenting new results on fermionic determinants and thermodynamics.

Contribution

It provides new insights into the conformal algebra, disproves a conjecture about finite size effects, and analyzes the thermodynamics dependence on current interactions.

Findings

Disproved a conjecture relating finite size effects to the central charge.

Derived new results on fermionic determinants with twisted boundary conditions.

Showed how thermodynamics depends on current-current interactions.

Abstract

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.