Induced vacuum energy-momentum tensor in the background of a d-2 - brane in d+1 - dimensional space-time

TL;DR

This paper investigates how a magnetic flux in a d-2 brane affects the vacuum energy-momentum tensor in a flat d+1-dimensional space-time, revealing flux-dependent periodicity and curvature effects.

Contribution

It provides a detailed analysis of the induced vacuum energy-momentum tensor due to a magnetic flux in a higher-dimensional brane background, including flux, distance, and curvature dependence.

Findings

Tensor components are periodic functions of the brane flux.

Dependence on distance from the brane is characterized.

Effects of space-time curvature coupling are analyzed.

Abstract

Charged scalar field is quantized in the background of a static d-2 - brane which is a core of the magnetic flux lines in flat d+1 - dimensional space-time. We find that vector potential of the magnetic core induces the energy-momentum tensor in the vacuum. The tensor components are periodic functions of the brane flux and holomorphic functions of space dimension. The dependence on the distance from the brane and on the coupling to the space-time curvature scalar is comprehensively analysed.