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arXiv · 1210.8358

Lifshitz holography with a probe Yang-Mills field

Fidel A. Schaposnik·Gianni Tallarita
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Abstract

Taking as a probe an SU(2) gauge field with Yang-Mills action in a 3+1 dimensional Lifshitz black hole background, we use the gauge/gravity correspondence to discuss finite temperature effects in the dual theory defined on the boundary. In order to test the dependence of results on the anisotropic scaling exponent z we consider two analytical black hole solutions with z=2 and z=4. Apart from solving the equations of motion in the bulk using a numerical approach, we also apply an analytical approximation allowing the determination of the phase transition character, the critical exponent and the critical temperature behavior as a function of z.

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Fidel A. Schaposnik, Gianni Tallarita. 2012-10-31. Lifshitz holography with a probe Yang-Mills field. https://doi.org/10.1016/j.physletb.2013.02.032

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