Lifshitz holography with a probe Yang-Mills field

FIDEL SCHAPOSNIK; GIANNI TALLARITA

PHYSICS LETTERS B

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2013 vol. 720 p. 393 - 398

0370-2693

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.