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On stability and transport of cold holographic matter

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Abstract

We use gauge-gravity duality to study the stability of zero-temperature, finite baryon density states of \( \mathcal{N} = 4 \) supersymmetric SU(N c ) Yang-Mills theory coupled to a single massive fundamental-representation \( \mathcal{N} = 2 \) hypermultiplet in the large-N c and large-coupling limits. In particular, we study the spectrum of mesons. The dual description is a probe D7-brane in anti-de Sitter space with a particular configuration of worldvolume fields. The meson spectrum is dual to the spectrum of fluctuations of worldvolume fields about that configuration. We use a combination of analytical and numerical techniques to compute the spectrum, including a special numerical technique designed to deal with singular points in the fluctuations’ equations of motion. Despite circumstantial evidence that the system might be unstable, such as a finite entropy density at zero temperature and the existence of instabilities in similar theories, we find no evidence of any instabilities, at least for the ranges of frequency and momenta that we consider. We discover a pole on the imaginary frequency axis in a scalar meson two-point function, similar to the diffusive mode in the two-point function of a conserved charge.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of California, Los Angeles, CA, 90095, U.S.A.

    Martin Ammon

  2. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, München, Germany

    Johanna Erdmenger, Shu Lin, Steffen Müller & Jonathan P. Shock

  3. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA, U.K.

    Andy O’Bannon

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  1. Martin Ammon
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  2. Johanna Erdmenger
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Correspondence to Steffen Müller.

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ArXiv ePrint: 1108.1798

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Ammon, M., Erdmenger, J., Lin, S. et al. On stability and transport of cold holographic matter. J. High Energ. Phys. 2011, 30 (2011). https://doi.org/10.1007/JHEP09(2011)030

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