Vacuum polarization of massive spinor fields in static black-string backgrounds

TL;DR

This paper analytically evaluates the quantum effects of massive spinor fields in static black-string spacetimes using the Schwinger-DeWitt approximation, providing explicit expressions for the quantum energy-momentum tensor.

Contribution

It introduces a second-order approximation method for calculating quantum field effects in black-string backgrounds, extending previous work to cylindrical symmetry.

Findings

Explicit analytical expressions for quantum energy-momentum tensor components.

Application of Schwinger-DeWitt approximation to black-string spacetime.

Enhanced understanding of quantum field behavior in cylindrical gravitational backgrounds.

Abstract

The renormalized mean value of the quantum Lagrangian and the corresponding components of the Energy-Momentum tensor for massive spinor fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The general results are employed to explicitly derive compact analytical expressions for the quantum mean Lagrangian and Energy- Momentum tensor in the particular background of the Black-String space-time.