Lifshitz holography with a probe Yang-Mills field

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.

12 pages, 3 figures

References in corpus (7)

• Building an AdS/CFT superconductor
• Non-relativistic holography
• Black holes in asymptotically Lifshitz spacetime
• General Covariance in Gravity at a Lifshitz Point
• Holographic superconductors with $z=2$ Lifshitz scaling
• Charged Lifshitz Black Holes
• Thermal Correlators in Holographic Models with Lifshitz scaling

Cited by in corpus (7)

• Notes on analytical study of holographic superconductors with Lifshitz scaling in external magnetic field
• Holographic Lifshitz Superconductors with an Axion Field
• Quasinormal modes of Four Dimensional Topological Nonlinear Charged Lifshitz Black Holes
• Revisiting holographic superconductors with hyperscaling violation
• Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
• Excited states of holographic superconductors with hyperscaling violation
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling