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A Holographic Study on Vector Condensate Induced by a Magnetic Field

Sep 9, 2013

22 pages

Published in:

JHEP 12 (2013) 036

Published: 2013

e-Print:

1309.2098 [hep-th]

DOI:

10.1007/JHEP12(2013)036

View in:

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Abstract: (arXiv)

We study a holographic model with vector condensate by coupling the anti-de Sitter gravity to an Abelian gauge field and a charged vector field in

(3+1)

dimensional spacetime. In this model there exists a non-minimal coupling of the vector filed to the gauge field. We find that there is a critical temperature below which the charged vector condenses via a second order phase transition. The DC conductivity becomes infinite and the AC conductivity develops a gap in the condensed phase. We study the effect of a background magnetic field on the system. It is found that the background magnetic field can induce the condensate of the vector field even in the case without chemical potential/charge density. In the case with non-vanishing charge density, the transition temperature raises with the applied magnetic field, and the condensate of the charged vector operator forms a vortex lattice structure in the spatial directions perpendicular to the magnetic field.

condensation: vector
magnetic field: background
field theory: vector
charge: density
coupling: vector
operator: vector
gravitation: anti-de Sitter
gauge field theory: abelian
temperature: transition
coupling: nonminimal

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