AroundConnect

2008

Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space

Gubser, Steven S., Nellore, Abhinav

Understand

We explore the low-temperature behavior of the Abelian Higgs model in AdS_4, away from the probe limit in which back-reaction of matter fields on the metric can be neglected.

  • Over a significant range of charges for the complex scalar, we observe a second order phase transition at finite temperature.
  • The symmetry-breaking states are superconducting black holes.
  • At least when the charge of the scalar is not too small, we observe at low temperatures the emergence of a domain wall structure characterized by a definite index of refraction.

Built on

Similar

  • S. Weinberg, “Superconductivity for particular theorists,” Prog. Theor. Phys. Suppl

    1986

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  • I. R. Klebanov and E. Witten, “AdS/CFT correspondence and symmetry breaking,” Nucl. Phys

    1999

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  • S. S. Gubser, “Breaking an Abelian gauge symmetry near a black hole horizon,” arXiv:0801.2977 [hep-th]

    Original

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  • S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Building an AdS/CFT superconductor,” 0803.3295

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  • S. S. Gubser and F. D. Rocha, “The gravity dual to a quantum critical point with spontaneous symmetry breaking,” 0807.1737

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  • S. S. Gubser, “Colorful horizons with charge in anti-de Sitter space,” 0803.3483

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  • P. Basu, A. Mukherjee, and H.-H. Shieh, “Supercurrent: Vector Hair for an AdS Black Hole,” 0809.4494

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  • C. P. Herzog, P. K. Kovtun, and D. T. Son, “Holographic model of superfluidity,” 0809.4870

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  • S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Holographic Superconductors,” 0810.1563

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  • E. Winstanley, “Classical Yang-Mills black hole hair in anti-de Sitter space,” arXiv:0801.0527 [gr-qc]

    Original

    Cited in the paper.

Then

  • S. S. Gubser, “Phase transitions near black hole horizons,” Class. Quant. Grav

    2005

    Later among the works it cites.

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