PoS - Proceedings of Science
Volume 262 - The Modern Physics of Compact Stars 2015 (MPCS2015) - Session v cosmology and relativistic gravity
Vaccum currents in braneworlds
A. Saharian*, N.A. Saharyan and V.V. Vardanyan
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Published on: December 30, 2016
Vacuum expectation value of the current density is investigated for a massive charged scalar field with arbitrary curvature coupling in the geometry of a brane on the background of AdS spacetime with partial toral compact dimensions. The presence of a gauge field flux, enclosed by compact dimensions, is assumed. On the brane the field obeys Robin boundary condition and along compact dimensions periodicity conditions with general phases are imposed. The vacuum charge density and the components of the current along non-compact dimensions vanish. The expectation value of the current density along compact dimensions is a periodic function of the gauge field flux with the period equal to the flux quantum. It is decomposed into the boundary-free and brane-induced contributions. Both these contributions vanish on the AdS boundary. The brane-induced contribution vanishes on the horizon and for points near the hor
izon the current is dominated by the boundary-free part. Depending on the value of the Robin coefficient, the presence of the brane can either increase or decrease the vacuum currents. Applications are given for a higher-dimensional version of the Randall-Sundrum braneworld model.
DOI: https://doi.org/10.22323/1.262.0022
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