Vacuum polarization of a quantized scalar field in the thermal state in a long throat

Abstract

Vacuum polarization of scalar fields in the background of a long throat is investigated. The field is assumed to be both massive or massless, with arbitrary coupling to the scalar curvature, and in a thermal state at an arbitrary temperature. Analytical approximation for ${⟨{\phi }^2⟩}_{ren}$ is obtained.

20 pages

References in corpus (2)

• Method to compute the stress-energy tensor for the massless spin 1/2 field in a general static spherically symmetric spacetime
• Quantum-corrected ultraextremal horizons and validity of WKB in massless limit