Intersecting D-branes and Lifshitz-like space-time

Dey, Parijat; Roy, Shibaji

doi:10.1103/physrevd.86.066009

Cited by 33 publications

(47 citation statements)

References 60 publications

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“…2 In a top-down approach, the metric [Eq. (1)] also arises as a solution describing the low-energy behavior of a number of string/M-theory constructions in certain limits [30][31][32][33][34][35][36][37]. For instance, it was shown in Ref.…”

Section: A Bulk Solutionmentioning

confidence: 99%

Aspects of current correlators in holographic theories with hyperscaling violation

Edalati¹,

Pedraza²

2013

Phys. Rev. D

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We study the low-energy and low-momentum behavior of current correlators in a class of holographic zero-temperature, finite-density critical theories which do not respect the hyperscaling relation. The dual holographic description is assumed to be given by probe D-branes embedded in background geometries characterized by a dynamical critical exponent z and a hyperscaling violation exponent . We show that a subset of these theories with 1 z < 2ð1 À =dÞ exhibit a stable, linearly dispersing mode in their low-energy spectrum of excitations. This mode, which appears as a pole in the retarded correlators of charge density and longitudinal currents, has some characteristics similar to that of the zero sound in Fermi liquids. Given some reasonable assumptions, we argue that the class of theories with ¼ d À 1 that logarithmically violate the area law in the entanglement entropy in a manner reminiscent of theories with Fermi surfaces does not exhibit a zero-sound-like mode in the low-energy spectrum of the probe sector. Furthermore, utilizing the holographic Wilsonian approach, we explicitly show that such a mode has a natural interpretation as a Goldstone boson arising from the spontaneous breaking of a specific symmetry.

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Section: A Bulk Solutionmentioning

confidence: 99%

Aspects of current correlators in holographic theories with hyperscaling violation

Edalati¹,

Pedraza²

2013

Phys. Rev. D

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“…By now there exist various holographic dual models for critical points involving Lifschitz scaling and hyperscaling violation [33][34][35][36][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. In the light of the rich scaling structure in the time evolution of entanglement entropy, it is interesting to see how it carries over to systems with Lifshitz scaling and hyperscaling violation.…”

Section: Jhep08(2014)051mentioning

confidence: 99%

Holographic thermalization with Lifshitz scaling and hyperscaling violation

Fonda

Franti

Keränen

et al. 2014

J. High Energ. Phys.

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A Vaidya type geometry describing gravitation collapse in asymptotically Lifshitz spacetime with hyperscaling violation provides a simple holographic model for thermalization near a quantum critical point with non-trivial dynamic and hyperscaling violation exponents. The allowed parameter regions are constrained by requiring that the matter energy momentum tensor satisfies the null energy condition. We present a combination of analytic and numerical results on the time evolution of holographic entanglement entropy in such backgrounds for different shaped boundary regions and study various scaling regimes, generalizing previous work by Liu and Suh.

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“…One of such generalizations is to use metric with hyperscaling violation. Usually, the metric is considered to be an extension of the Lifshitz metric and has a generic Lorentz violating form [16][17][18][19][20]. As we know, Lorentz symmetry represents a foundation of both general relativity and the standard model, so one may expect new physics from Lorentz invariance violation.…”

Section: Introductionmentioning

confidence: 99%

Heavy Quark Potential with Hyperscaling Violation

Zhang

Hou

et al. 2017

Advances in High Energy Physics

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We investigate the behavior of the heavy quark potential in the backgrounds with hyperscaling violation. The metrics are covariant under a generalized Lifshitz scaling symmetry with the dynamical Lifshitz parameter and hyperscaling violation exponent . We calculate the potential for a certain range of and and discuss how it changes in the presence of the two parameters. Moreover, we add a constant electric field to the backgrounds and study its effects on the potential. It is shown that the heavy quark potential depends on the nonrelativistic parameters. Also, the presence of the constant electric field tends to increase the potential.

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Intersecting D-branes and Lifshitz-like space-time

Cited by 33 publications

References 60 publications

Aspects of current correlators in holographic theories with hyperscaling violation

Aspects of current correlators in holographic theories with hyperscaling violation

Holographic thermalization with Lifshitz scaling and hyperscaling violation

Heavy Quark Potential with Hyperscaling Violation

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