Noncommutative Thermofield Dynamics

TL;DR

This paper develops a path-integral formulation of thermofield dynamics in non-commutative spaces and analyzes the combined effects of temperature and non-commutativity on a scalar field theory's two-point function.

Contribution

It introduces a novel path-integral approach for thermal quantum field theories in non-commutative spaces and computes the one-loop two-point function considering temperature and non-commutative effects.

Findings

Derived the two-point function for non-commutative $^4$ theory at one-loop

Analyzed the interplay between temperature and non-commutative parameters

Provided insights into thermal effects in non-commutative quantum field theories

Abstract

The real-time operator formalism for thermal quantum field theories, thermofield dynamics, is formulated in terms of a path-integral approach in non-commutative spaces. As an application, the two-point function for a thermal non-commutative $\lambda \phi^4$ theory is derived at the one-loop level. The effect of temperature and the non-commutative parameter, competing with one another, is analyzed.