Casimir Effect at finite temperature for the Kalb-Ramond field

TL;DR

This paper calculates the finite-temperature Casimir energy and pressure for the Kalb-Ramond field using thermofield dynamics, providing insights that could impact applications like cuprate superconductivity.

Contribution

It introduces a method to compute the energy-momentum tensor of the Kalb-Ramond field at finite temperature using a generalized TFD approach, extending previous electromagnetic Casimir studies.

Findings

Derived explicit expressions for Casimir energy and pressure at finite temperature.

Compared results with electromagnetic Casimir effect, highlighting differences.

Potential applications in condensed matter physics, such as superconductivity.

Abstract

We use the thermofield dynamics (TFD) formalism to obtain the energy-momentum tensor for the Kalb-Ramond (KR) field in a topology $% S^{1}\times S^{1}\times R^{2}$. The compactification is carried out by a generalized TFD-Bogoliubov transformation that is used to define a renormalized energy-momentum tensor. The expressions for the Casimir energy and pressure at finite temperature are then derived. A comparative analysis with the electromagnetic case is developed, and the results may be important for applications, as in cuprate superconductivity, for instance.