Non-static Dimensional Reduction of QED_3 at Finite Temperature

TL;DR

This paper investigates a non-static, spatially uniform reduction of 2+1-dimensional QED to a 0+1-dimensional model, revealing temperature-dependent topological terms and non-zero self-energies at finite temperature.

Contribution

It introduces a novel non-static dimensional reduction of QED_3, analyzing its features and quantum corrections at finite temperature.

Findings

Induces a temperature-dependent Chern-Simons term at one-loop.

Finite temperature two-loop self-energies are non-zero at all temperatures.

Retains key features of the original 2+1-dimensional model.

Abstract

We study an extreme non-static limit of 2+1-dimensional QED obtained by making a dimensional reduction so that all fields are spatially uniform but time dependent. This dimensional reduction leads to a 0+1-dimensional field theory that inherits many of the features of the 2+1-dimensional model, such as Chern-Simons terms, time-reversal violation, an analogue of parity violation, and global U(2) flavor symmetry. At one-loop level, interactions induce a Chern-Simons term at finite T with coefficient tanh(beta m_F/2), where m_F is the fermion mass. The finite temperature two loop self-energies are also computed, and are non-zero for all temperatures.