Curvature-induced phase transition in three-dimensional Thirring model

TL;DR

This paper investigates how curvature affects phase transitions in the three-dimensional Thirring model, revealing a curvature-induced transition with the formation of a bifermionic condensate in curved spacetime.

Contribution

It introduces the calculation of the effective potential in curved spacetime and demonstrates the existence of a curvature-induced phase transition in the Thirring model.

Findings

Existence of a curvature-induced phase transition.

Formation of a non-zero bifermionic condensate.

Analysis of the transition type.

Abstract

The effective potential of composite fermion fields in three-dimensional Thirring model in curved spacetime is calculated in linear curvature approximation. The phase transition accompanied by the creation of non-zero chiral invariant bifermionic vector-like condensate is shown to exist. The type of this phase transition is discussed.