Finite Temperature and Density Effects in Planar Q.E.D

TL;DR

This paper investigates how finite temperature and density influence planar quantum electrodynamics, analyzing characteristic functions, screening effects, radiative corrections, and magnetic moments, with results aligning with known zero-temperature limits.

Contribution

It provides a comprehensive analysis of finite temperature and density effects in planar Q.E.D., including dielectric functions, plasmon frequencies, and radiative corrections, extending understanding of thermal influences.

Findings

Temperature and density affect dielectric and permeability functions.

Plasmon frequencies and screening lengths depend on temperature and density.

The electron magnetic moment varies with temperature, approaching the zero-temperature value.

Abstract

The behavior of finite temperature planar electrodynamics is investigated. We calculate the static as well as dynamic characteristic functions using real time formalism. The temperature and density dependence of dielectric and permeability functions, plasmon frequencies and their relation to the screening length is determined. The radiative correction to the fermion mass is also calculated. We also calculate the temperature dependence of the electron (anyon) magnetic moment. Our results for the gyromagnetic ratio go smoothly to the known result at zero temperature, $g=2$, in accordance with the general expectation.