scholarly journals Dynamically generated gap from holography in the charged black brane with hyperscaling violation

2015 ◽  
Vol 2015 (4) ◽  
Author(s):  
Xiao-Mei Kuang ◽  
Eleftherios Papantonopoulos ◽  
Bin Wang ◽  
Jian-Pin Wu
Keyword(s):  
Black Brane ◽  
Hyperscaling Violation

QUASINORMAL FREQUENCIES OF BLACK BRANES WITH HYPERSCALING VIOLATION

2013 ◽  
Vol 28 (37) ◽  
pp. 1350145 ◽  
Author(s):  
NAN BAI ◽  
YI-HONG GAO ◽  
BU-GUAN QI ◽  
XIAO-BAO XU
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Continued Fractions ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Black Brane ◽  
Imaginary Frequency ◽  
Hyperscaling Violation

We investigated quasinormal frequencies (QNFs) in black brane with hyperscaling violating by using the continued fractions method. We calculate QNF of massless scalar field and electromagnetic field both with zero spatial momentum, find that QNFs have negative imaginary frequency suggesting black brane with hyperscaling violation is stable under those perturbations.

scholarly journals Chaotic dynamics of string around charged black brane with hyperscaling violation

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Da-Zhu Ma ◽  
Dan Zhang ◽  
Guoyang Fu ◽  
Jian-Pin Wu
Keyword(s):  
Chaotic Dynamics ◽  
Black Brane ◽  
Hyperscaling Violation

scholarly journals Hydrodynamics in a black brane with hyperscaling violation metric background

2014 ◽  
Vol 92 (12) ◽  
pp. 1570-1572 ◽  
Author(s):  
J. Sadeghi ◽  
A. Asadi
Keyword(s):  
Shear Viscosity ◽  
Entropy Density ◽  
Point Of View ◽  
Black Brane ◽  
Hyperscaling Violation

In this paper we consider a metric with hyperscaling violation on a black brane background. In this background we calculate the ratio of shear viscosity to entropy density with hydrodynamics information. The calculation of this quantity leads us to a constraint on θ as 3 ≤ θ < 4, and θ ≤ 0. In that case we show that the quantity η/s is not dependent on hyperscaling violation parameter θ. Our results about ratio of shear viscosity to entropy density from the QCD point of view agree with other works in the literature as 1/4π.

scholarly journals Correlation functions in finite temperature CFT and black hole singularities

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
D. Rodriguez-Gomez ◽  
J.G. Russo
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Correlation Functions ◽  
Finite Temperature ◽  
Proper Time ◽  
Black Brane ◽  
Point Function ◽  
Black Hole Singularity ◽  
Point Correlation ◽  
Scaling Dimension

Abstract We compute thermal 2-point correlation functions in the black brane AdS5 background dual to 4d CFT’s at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the proper time from the event horizon to the black hole singularity.

scholarly journals Constraints on quasinormal modes and bounds for critical points from pole-skipping

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Navid Abbasi ◽  
Matthias Kaminski
Keyword(s):  
Critical Points ◽  
Thermal State ◽  
Quasinormal Modes ◽  
Scalar Perturbation ◽  
Black Brane ◽  
Massive Scalar ◽  
Dual Operator ◽  
Conformal Dimension ◽  
Scalar Operator ◽  
First Time

Abstract We consider a holographic thermal state and perturb it by a scalar operator whose associated real-time Green’s function has only gapped poles. These gapped poles correspond to the non-hydrodynamic quasinormal modes of a massive scalar perturbation around a Schwarzschild black brane. Relations between pole-skipping points, critical points and quasinormal modes in general emerge when the mass of the scalar and hence the dual operator dimension is varied. First, this novel analysis reveals a relation between the location of a mode in the infinite tower of quasinormal modes and the number of pole-skipping points constraining its dispersion relation at imaginary momenta. Second, for the first time, we consider the radii of convergence of the derivative expansions about the gapped quasinormal modes. These convergence radii turn out to be bounded from above by the set of all pole-skipping points. Furthermore, a transition between two distinct classes of critical points occurs at a particular value for the conformal dimension, implying close relations between critical points and pole-skipping points in one of those two classes. We show numerically that all of our results are also true for gapped modes of vector and tensor operators.

scholarly journals Phase transitions from the fifth dimension

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Kaustubh Agashe ◽  
Peizhi Du ◽  
Majid Ekhterachian ◽  
Soubhik Kumar ◽  
Raman Sundrum
Keyword(s):  
Bubble Dynamics ◽  
Effective Field ◽  
Bubble Nucleation ◽  
Thin Wall ◽  
Black Brane ◽  
Composite Higgs ◽  
Fifth Dimension ◽  
Two Phases ◽  
Holographic Description ◽  
The Impact

Abstract We study the cosmological transition of 5D warped compactifications, from the high-temperature black-brane phase to the low-temperature Randall-Sundrum I phase. The transition proceeds via percolation of bubbles of IR-brane nucleating from the black-brane horizon. The violent bubble dynamics can be a powerful source of observable stochastic gravitational waves. While bubble nucleation is non-perturbative in 5D gravity, it is amenable to semiclassical treatment in terms of a “bounce” configuration interpolating between the two phases. We demonstrate how such a bounce configuration can be smooth enough to maintain 5D effective field theory control, and how a simple ansatz for it places a rigorous lower-bound on the transition rate in the thin-wall regime, and gives plausible estimates more generally. When applied to the Hierarchy Problem, the minimal Goldberger-Wise stabilization of the warped throat leads to a slow transition with significant supercooling. We demonstrate that a simple generalization of the Goldberger-Wise potential modifies the IR-brane dynamics so that the transition completes more promptly. Supercooling determines the dilution of any (dark) matter abundances generated before the transition, potentially at odds with data, while the prompter transition resolves such tensions. We discuss the impact of the different possibilities on the strength of the gravitational wave signals. Via AdS/CFT duality the warped transition gives a theoretically tractable holographic description of the 4D Composite Higgs (de)confinement transition. Our generalization of the Goldberger-Wise mechanism is dual to, and concretely models, our earlier proposal in which the composite dynamics is governed by separate UV and IR RG fixed points. The smooth 5D bounce configuration we introduce complements the 4D dilaton/radion dominance derivation presented in our earlier work.

Review of the holographic Lifshitz theory

2014 ◽  
Vol 29 (24) ◽  
pp. 1430049 ◽  
Author(s):  
Chanyong Park
Keyword(s):  
Field Theory ◽  
Finite Temperature ◽  
Quasinormal Mode ◽  
Thermodynamic Quantities ◽  
Black Brane ◽  
Zero Temperature ◽  
Hydrodynamic Properties ◽  
Relativistic Field ◽  
Thermal Entropy ◽  
Lifshitz Theory

We review interesting results achieved in recent studies on the holographic Lifshitz field theory. The holographic Lifshitz field theory at finite temperature is described by a Lifshitz black brane geometry. The holographic renormalization together with the regularity of the background metric allows to reproduce thermodynamic quantities of the dual Lifshitz field theory where the Bekenstein–Hawking entropy appears as the renormalized thermal entropy. All results satisfy the desired black brane thermodynamics. In addition, hydrodynamic properties are further reviewed in which the holographic retarded Green functions of the current and momentum operators are studied. In a nonrelativistic Lifshitz field theory, intriguingly, there exists a massive quasinormal mode at finite temperature whose effective mass is linearly proportional to temperature. Even at zero temperature and in the nonzero momentum limit, a quasinormal mode still remains unlike the dual relativistic field theory. Finally, we account for how adding impurity modifies the electric property of the nonrelativistic Lifshitz theory.

scholarly journals Lifshitz hydrodynamics at generic z from a moving black brane

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Aruna Rajagopal ◽  
Larus Thorlacius
Keyword(s):  
Field Theory ◽  
Steady State ◽  
Critical Exponent ◽  
Stress Tensor ◽  
Perfect Fluid ◽  
Scale Invariance ◽  
Linear Momentum ◽  
Black Brane ◽  
Dilaton Gravity ◽  
Non Equilibrium

Abstract A Lifshitz black brane at generic dynamical critical exponent z > 1, with non-zero linear momentum along the boundary, provides a holographic dual description of a non-equilibrium steady state in a quantum critical fluid, with Lifshitz scale invariance but without boost symmetry. We consider moving Lifshitz branes in Einstein-Maxwell-Dilaton gravity and obtain the non-relativistic stress tensor complex of the dual field theory via a suitable holographic renormalisation procedure. The resulting black brane hydrodynamics and thermodynamics are a concrete holographic realization of a Lifshitz perfect fluid with a generic dynamical critical exponent.

scholarly journals Complexity growth with Lifshitz scaling and hyperscaling violation

2018 ◽  
Vol 2018 (7) ◽  
Author(s):  
Mohsen Alishahiha ◽  
Amin Faraji Astaneh ◽  
M. Reza Mohammadi Mozaffar ◽  
Ali Mollabashi
Keyword(s):  
Hyperscaling Violation
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