Thermofield Quantum Electrodynamics in 1 + 1 Dimensions at Finite Chemical Potential: A Bosonization Approach

TL;DR

This paper extends the operator solution of 1+1 dimensional quantum electrodynamics to finite temperature and chemical potential using Thermofield Dynamics, providing new insights into correlation functions in thermal states.

Contribution

It introduces a generalized operator solution incorporating chemical potential in Thermofield Dynamics for 1+1D QED, expanding previous finite temperature models.

Findings

Constructed operator solutions satisfying KMS condition with chemical potential.

Computed correlation functions of chiral densities in thermal theta-vacuum.

Discussed two forms of the KMS condition and their implications.

Abstract

The recent generalization of the Lowenstein-Swieca operator solution of Quantum Electrodynamics in 1+1 dimensions to finite temperature in Thermofield Dynamics is further generalized to include a non-vanishing chemical potential. The operator solution to the Euler-Lagrange equations respecting the Kubo-Martin-Schwinger condition is constructed. Two forms of this condition and their associated solutions are discussed. The correlation functions of an arbitrary number of chiral densities are computed in the thermal theta-vacuum.