Induced vacuum currents in anti-de Sitter space with toral dimensions

We investigate the Hadamard function and the vacuum expectation value of the current density for a charged massive scalar field on a slice of anti-de Sitter (AdS) space described in Poincaré coordinates with toroidally compact dimensions. Along compact dimensions periodicity conditions are imposed o...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. B 2015-02, Vol.741, p.155-162
Main Authors: Bezerra de Mello, E.R., Saharian, A.A., Vardanyan, V.
Format: Article
Language:English
Subjects:
Boundaries
Constants
Current density
Elementary particles
Flux
Gages
Gauges
Phases
Scalars
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate the Hadamard function and the vacuum expectation value of the current density for a charged massive scalar field on a slice of anti-de Sitter (AdS) space described in Poincaré coordinates with toroidally compact dimensions. Along compact dimensions periodicity conditions are imposed on the field with general phases. Moreover, the presence of a constant gauge field is assumed. The latter gives rise to Aharonov–Bohm-like effects on the vacuum currents. The current density along compact dimensions is a periodic function of the gauge field flux with the period equal to the flux quantum. It vanishes on the AdS boundary and, near the horizon, to the leading order, it is conformally related to the corresponding quantity in Minkowski bulk for a massless field. For large values of the length of the compact dimension compared with the AdS curvature radius, the vacuum current decays as power-law for both massless and massive fields. This behavior is essentially different from the corresponding one in Minkowski background, where the currents for a massive field are suppressed exponentially.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2014.12.036