Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-17
Phys.Lett.B686:192-198,2010
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 7 pdf files in 4 figures
Scientific paper
10.1016/j.physletb.2010.02.021
We numerically construct asymptotically Anti-de Sitter charged black hole solutions of (4+1)-dimensional SU(2) Einstein-Yang-Mills theory that, for sufficiently low temperature, develop vector hair. Via gauge-gravity duality, these solutions describe a strongly-coupled conformal field theory at finite temperature and density that undergoes a phase transition to a superfluid state with spontaneously broken rotational symmetry (a p-wave superfluid state). The bulk theory has a single free parameter, the ratio of the five-dimensional gravitational constant to the Yang-Mills coupling, which we denote as alpha. Previous analyses have shown that in the so-called probe limit, where alpha goes to zero and hence the gauge fields are ignored in Einstein's equation, the transition to the superfluid state is second order. We construct fully back-reacted solutions, where alpha is finite and the gauge fields are included in Einstein's equation, and find that for values of alpha above a critical value alpha_c = 0.365 +- 0.001, the transition becomes first order.
Ammon Martin
Erdmenger Johanna
Grass Viviane
Kerner Patrick
O'Bannon Andy
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