Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8193726 | Physics Letters B | 2010 | 7 Pages |
Abstract
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 α. Previous analyses have shown that in the so-called probe limit, where α 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 α is finite and the gauge fields are included in Einstein's equation, and find that for values of α above a critical value αc=0.365±0.001 in units of the AdS radius, the transition becomes first order.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Martin Ammon, Johanna Erdmenger, Viviane Grass, Patrick Kerner, Andy O'Bannon,