On Holographic p-wave Superfluids with Back-reaction

By M. Ammon, Johanna Erdmenger, V. Grass, Patrick Kerner, A. O’Bannon. 2009

159 citations recorded by the source corpus.

We numerically construct asymptotically Anti-de Sitter charged black hole solutions of (4 + 1)-dimensional SU(2) Einstein-Yang-Mills theory that, for suciently low temperature, develop vector hair. Via gauge-gravity duality, these solutions describe a strongly-coupled conformal eld theory at nite temperature and density that undergoes a phase transition to a superuid state with spontaneously broken rotational symmetry (a p-wave superuid state). The bulk theory has a single free parameter, the ratio of the ve-dimensional gravitational constant to the Yang-Mills coupling, which we denote as . Previous analyses have shown that in the so-called probe limit, where goes to zero and hence the gauge elds are ignored in Einstein’s equation, the transition to the superuid state is second order. We construct fully back-reacted solutions, where is nite and the gauge elds are included in Einstein’s equation, and nd that for values of above a critical value c = 0:365 0:001 in units of the AdS radius, the transition becomes rst order.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f8d8024de82b4bd396740edf8835f25d989ec660

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In Astronomy and Astrophysics

  1. Diego Trancanelli
  2. D. Mateos
  3. V. Hubeny
  4. J. Gauntlett
  5. Aristomenis Donos
  6. N. Warner
  7. R. Myers
  8. Ioannis Papadimitriou

In Nuclear and High Energy Physics

  1. Diego Trancanelli
  2. D. Mateos
  3. V. Hubeny
  4. R. Myers
  5. R. Thomson
  6. J. Gauntlett
  7. Aristomenis Donos
  8. Johanna Erdmenger

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