Schrödinger holography with and without hyperscaling violation

Kim, Bom Soo

doi:10.1007/jhep06(2012)116

Cited by 46 publications

(88 citation statements)

References 116 publications

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“…As a check, we show that our results for θ = 0 reduce to the ones in [37] for holographic quantum critical points with Lifshitz scaling. Moreover, our results also apply to the recently constructed holographic theories [10] which are supposed to represent in the boundary a class of quantum critical points with hyperscaling violation but with Schrödinger symmetries. In addition, we study the zerotemperature fluctuations of the charged probe in quantum critical points dual to the Reissner-Nordström AdS background and verify that the results agree with the late-time behavior of the two-point functions when the z → ∞ limit is taken.…”

Section: Introductionmentioning

confidence: 65%

Quantum fluctuations in holographic theories with hyperscaling violation

2013

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In this short note we use holographic methods to study the response of quantum critical points with hyperscaling violation to a disturbance caused by a massive charged particle. We give analytical expressions for the two-point functions of the fluctuations of the massive probe as a function of arbitrary (allowed) values of the hyperscaling violation exponent θ and the dynamical exponent z. We point out the existence of markedly different behaviors of the two-point functions in the parameter space of θ and z at late times. In particular, as expected, the late-time dynamics of the probe becomes independent of its inertial mass in the range z + 2θ/d > 2.

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Section: Introductionmentioning

confidence: 65%

Quantum fluctuations in holographic theories with hyperscaling violation

2013

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“…As the AdS/CFT correspondence is expected to hold in the NR limit [69][70][71][72][73][74], the bulk anomalies in 2 + 1 dimensions will impose certain constraints on the nature of the dual field theory at the boundary. It will be intersting to consider possible differences with Lifshitz holography [75] as the anomalies found in this work differ from those of Lifshitz backgrounds.…”

Section: Discussionmentioning

confidence: 99%

Gravitational anomalies on the Newton-Cartan background

Fernandes

Mitra

2017

Phys. Rev. D

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We derive the trace and diffeomorphism anomalies of the Schrödinger field minimally coupled to the Newton-Cartan background using Fujikawa's path integral approach. This approach in particular enables us to calculate the one-loop contributions due to all the fields of the NewtonCartan structure. We determine the coefficients and demonstrate that gravitational anomalies for this theory always arise in odd dimensions. Due to the gauge field contribution of the background we find that in 2 + 1 dimensions the trace anomaly contains terms which have a form similar to that of the 1 + 1 and 3 + 1 dimensional relativistic trace anomalies. This result reveals that the Newton-Cartan background which satisfies the Frobenius condition possesses a Type A trace anomaly in contrast with the result of Lishitz spacetimes. As an application we demonstrate that the coefficient of the term similar to the 1 + 1 dimensional relativistic trace anomaly satisfies a c-theorem condition.

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“…The field theory stress energy tensor T ij can be computed using the relation [41] (also used recently in [42,43])…”

Section: Jhep11(2016)044mentioning

confidence: 99%

“…In closing, we mention that the dilaton coupling and a scalar potential in general EMD theories can be used to accommodate two independent parameters (dynamical and Hyperscaling violation exponents), which are directly and/or indirectly responsible for various interesting physical properties. For example, the existence of the exotic phases of matter [42,43] can be signified by the holographic entanglement entropy [66][67][68]. For certain parameter ranges of the dynamical and Hyperscaling violation exponents, the holographic entanglement entropy interpolates between the logarithmic violation and extensive volume dependence of entanglement entropy.…”

Section: Jhep11(2016)044mentioning

confidence: 99%

Holographic renormalization of Einstein-Maxwell-Dilaton theories

Kim

2016

J. High Energ. Phys.

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We generalize the boundary value problem with a mixed boundary condition that involves the gauge and scalar fields in the context of Einstein-Maxwell-Dilaton theories. In particular, the expectation value of the dual scalar operator can be a function of the expectation value of the current operator. The properties are prevalent in a fixed charge ensemble because the conserved charge is shared by both fields through the dilaton coupling, which is also responsible for non-Fermi liquid properties. We study the on-shell action and the stress energy tensor to note practical importances of the boundary value problem. In the presence of the scalar fields, physical quantities are not fully fixed due to the finite boundary terms that manifest in the massless scalar or the scalar with mass saturating the Breitenlohner-Freedman bound.

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Schrödinger holography with and without hyperscaling violation

Cited by 46 publications

References 116 publications

Quantum fluctuations in holographic theories with hyperscaling violation

Quantum fluctuations in holographic theories with hyperscaling violation

Gravitational anomalies on the Newton-Cartan background

Holographic renormalization of Einstein-Maxwell-Dilaton theories

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