2011
DOI: 10.1103/physrevd.84.126014
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Dynamic critical phenomena at a holographic critical point

Abstract: We study time-dependent perturbations to a family of five-dimensional black hole spacetimes constructed as a holographic model of the QCD phase diagram. We use the results to calculate two transport coefficients, the bulk viscosity and conductivity, as well as the associated baryon diffusion constant, throughout the phase diagram. Near the critical point in the T -µ plane, the transport coefficients remain finite, although their derivatives diverge, and the diffusion goes to zero. This provides further evidenc… Show more

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Cited by 130 publications
(232 citation statements)
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“…3 Since these gauge and diffeomorphism invariant combinations fall within different representations of SO (3), they cannot mix at the linear level and each one of these pertur- bations will satisfy a decoupled equation of motion. 4 As discussed in [56], due to SO(3) symmetry, each spatial component of the Maxwell field perturbation, a, satisfies the same decoupled differential equation and, therefore, we may take without loss of generality, a ≡ a x , such that the corresponding equation of motion reads [56],…”
Section: A Baryon Sectormentioning
confidence: 99%
See 1 more Smart Citation
“…3 Since these gauge and diffeomorphism invariant combinations fall within different representations of SO (3), they cannot mix at the linear level and each one of these pertur- bations will satisfy a decoupled equation of motion. 4 As discussed in [56], due to SO(3) symmetry, each spatial component of the Maxwell field perturbation, a, satisfies the same decoupled differential equation and, therefore, we may take without loss of generality, a ≡ a x , such that the corresponding equation of motion reads [56],…”
Section: A Baryon Sectormentioning
confidence: 99%
“…(7) over the EMD backgrounds with in-falling wave condition at the black hole horizon, normalizing the vector perturbation to unity at the boundary, and plug in the result into the following holographic Kubo formula for the baryon conductivity in the EMD model expressed in physical units [56,61] (discarding the usual delta function that appears in translationally invariant systems at finite density [78]),…”
Section: A Baryon Sectormentioning
confidence: 99%
“…In order to consider the current-current Green function, one has to introduce the U(1) gauge field perturbation. As in [111], we will add the following probe action to the original action,…”
Section: Electric Conductivity σ Elmentioning
confidence: 99%
“…To get a fields configuration which is both consistent with the equation of motions and realizes the linear Regge trajectory, dynamical soft-wall models were constructed by introduce a dilaton potential consistently [10,11]. On the other hand, the Einstein-dilaton and Einstein-Maxwell-dilaton models have been widely studied numerically [12][13][14][15][16] to investigate the thermodynamical properties and explore the phase structure in QCD. Recently, by the potential reconstruction method, analytic solutions have been obtained in the Einstein-dilaton model [17] as well as in the Einstein-Maxwell-dilaton model [16,18].…”
Section: Jhep11(2014)149mentioning
confidence: 99%