Finite-size effects on the phase transition in a four- and six-fermion interaction model

TL;DR

This paper investigates how finite-size effects influence phase transitions in four- and six-fermion interaction models at finite temperature and density, using quantum field theory on toroidal topologies.

Contribution

It introduces a detailed analysis of finite-size effects on phase transitions in fermionic models, highlighting the impact of topology on phase structure.

Findings

Finite-size effects can alter the order of phase transitions.

Topology influences the critical temperature and density.

Both first- and second-order transitions are affected by system size.

Abstract

We consider four- and six-fermion interacting models at finite temperature and density. We construct the corresponding free energies and investigate the appearance of first- and second-order phase transitions. Finite-size effects on the phase structure are investigated using methods of quantum field theory on toroidal topologies