On Holographic p-wave Superfluids with Back-reaction
Dec, 2009
15 pages
Published in:
- Phys.Lett.B 686 (2010) 192-198
e-Print:
- 0912.3515 [hep-th]
Report number:
- MPP-2009-215
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Abstract: (Elsevier)
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.Note:
- 15 pages, 7 pdf files in 4 figures
- Gauge/gravity duality
- Black holes
- Phase transitions
- AdS/CFT correspondence
- temperature: low
- hair: vector
- black hole: charge
- dimension: 5
- superfluid
- holography
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