Article
Holographic flavor transport in Schrödinger spacetime
Journal of High Energy Physics (Impact Factor: 5.62). 03/2010; 2010(6):132. DOI: 10.1007/JHEP06(2010)012
Source: OAI

Article: Finite Temperature Aging Holography
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ABSTRACT: We construct the gravity background which describes the dual field theory with aging invariance. We choose the decay modes of the bulk scalar field in the internal spectator direction to obtain the dissipative behavior of the boundary correlation functions of the dual scalar fields. In particular, the twotime correlation function at zero temperature has the characteristic features of the aging system: power law decay, broken time translation and dynamical scaling. We also construct the black hole backgrounds with asymptotic aging invariance. We extensively study characteristic behavior of the finite temperature twopoint correlation function via analytic and numerical methods.Journal of High Energy Physics 08/2011; · 5.62 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We study the properties of the Schr\"odingertype nonrelativistic holography for general dynamical exponent z with and without hyperscaling violation exponent \theta. The scalar correlation function has a more general form due to general z as well as the presence of \theta, whose effects also modify the scaling dimension of the scalar operator. We propose a prescription for minimal surfaces of this "codimension 2 holography," and demonstrate the (d1) dimensional area law for the entanglement entropy from (d+3) dimensional Schr\"odinger backgrounds. Surprisingly, the area law is violated for d+1 < z < d+2, even without hyperscaling violation, which interpolates between the logarithmic violation and extensive volume dependence of entanglement entropy. Similar violations are also found in the presence of the hyperscaling violation. Their dual field theories are expected to have novel phases for the parameter range, including Fermi surface. We also analyze string theory embeddings using nonrelativistic branes.Journal of High Energy Physics 02/2012; 2012(6). · 5.62 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We briefly explain the consistency conditions imposed on the effective holographic theories, which are parameterized by two real exponents $(\gamma,\delta)$ that control the IR dynamics. The general scaling of DC resistivity with temperature at low temperature and AC conductivity at low frequency across the whole $(\gamma,\delta)$ plane are explained. There is a codimensionone region where the DC resistivity is linear in the temperature. For massive carriers, it is shown that when the scalar operator is not the dilaton, the DC resistivity scales as the heat capacity (and entropy) for $(2+1)$dimensional systems. Regions are identified where the theory at finite density is a Mottlike insulator. This contribution is based on arXiv:1005.4690 with emphasis on the transport properties of charged dilatonic black holes with potential.Fortschritte der Physik 02/2011; 59(7‐8). · 0.98 Impact Factor
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