Hot scalar radiation around a cosmic string setting bounds on the coupling parameter $\xi$

TL;DR

This paper studies how a scalar field's coupling to curvature around a cosmic string affects its thermodynamic behavior, establishing bounds on the coupling parameter based on the geometry's deficit angle.

Contribution

It introduces bounds on the scalar-curvature coupling parameter derived from low-temperature thermodynamic analysis around a cosmic string.

Findings

Coupling parameter bounds depend on the deficit angle.

Scalar field behavior is constrained by thermodynamic equilibrium.

Results link geometry with quantum field coupling parameters.

Abstract

In this work, by investigating the low temperature behaviour of a scalar field around a cosmic string, and assuming stable thermodynamic equilibrium, it is shown that the coupling parameter of the field with curvature must be restricted to a certain range of values whose bounds are determined by the deficit angle of the associated conical geometry.