scholarly journals Holographic subdiffusion

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Koushik Ganesan ◽  
Andrew Lucas
Keyword(s):  
Fourth Order ◽  
Finite Temperature ◽  
Response Functions ◽  
Quantum Theories ◽  
Strongly Coupled ◽  
Zero Density ◽  
Rank Tensor ◽  
Low Energies ◽  
Gauge Gravity ◽  
Gravity Duality

Abstract We initiate a study of finite temperature transport in gapless and strongly coupled quantum theories with charge and dipole conservation using gauge-gravity duality. In a model with non-dynamical gravity, the bulk fields of our model include a suitable mixed-rank tensor which encodes the boundary multipole symmetry. We describe how such a theory can arise at low energies in a theory with a covariant bulk action. Studying response functions at zero density, we find that charge relaxes via a fourth-order subdiffusion equation, consistent with a recently-developed field-theoretic framework.

scholarly journals In-Medium Effects in the Holographic Quark-Gluon Plasma

2010 ◽  
Vol 2010 ◽  
pp. 1-141 ◽  
Author(s):  
Felix Rust
Keyword(s):  
Quark Gluon Plasma ◽  
Finite Temperature ◽  
Gauge Theories ◽  
Particle Density ◽  
Gluon Plasma ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Fundamental Matter ◽  
Gauge Gravity ◽  
Gravity Duality

We use the gauge/gravity duality to investigate various properties of strongly coupled gauge theories, which we interpret as models for the quark-gluon plasma (QGP). In particular, we use variants of the D3/D7 setup as an implementation of the top-down approach of connecting string theory with phenomenologically relevant gauge theories. We focus on the effects of finite temperature and finite density on fundamental matter in the holographic quark-gluon plasma, which we model as theN=2hypermultiplet in addition to theN=4gauge multiplet of supersymmetric Yang-Mills theory. We use a setup in which we can describe the holographic plasma at finite temperature and either baryon or isospin density and investigate the properties of the system from three different viewpoints. (i) We study meson spectra. Our observations at finite temperature and particle density are in qualitative agreement with phenomenological models and experimental observations. They agree with previous publications in the according limits. (ii) We study the temperature and density dependence of transport properties of fundamental matter in the QGP. In particular, we obtain diffusion coefficients. Furthermore, in a kinetic model we estimate the effects of the coupling strength on meson diffusion and therewith equilibration processes in the QGP. (iii) We observe the effects of finite temperature and density on the phase structure of fundamental matter in the holographic QGP. We trace out the phase transition lines of different phases in the phase diagram.

A DIRECT TEST OF THE GAUGE/GRAVITY DUALITY AND THE STRING THEORETICAL DESCRIPTION OF A BLACK HOLE

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2161-2164 ◽  
Author(s):  
JUN NISHIMURA
Keyword(s):  
Black Hole ◽  
Theoretical Description ◽  
Direct Test ◽  
Strongly Coupled ◽  
Open Strings ◽  
Large N ◽  
Brane Solution ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Microscopic Origin

We perform a direct test of the gauge/gravity duality by studying one-dimensional U (N) gauge theory with 16 supercharges at finite temperature using Monte Carlo simulation. In the 't Hooft large-N limit and in the strong coupling limit, the model is expected to have a dual gravity description in terms of the near-extremal black 0-brane solution in ten-dimensional type IIA supergravity. Our results provide the first example, in which the microscopic origin of the black hole thermodynamics is accounted for by solving explicitly the strongly coupled dynamics of the open strings attached to the D-branes.

scholarly journals Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N

2016 ◽  
Vol 94 (8) ◽  
Author(s):  
Masanori Hanada ◽  
Yoshifumi Hyakutake ◽  
Goro Ishiki ◽  
Jun Nishimura
Keyword(s):  
Finite Temperature ◽  
Numerical Tests ◽  
Gauge Gravity ◽  
Gravity Duality

scholarly journals Non-hermitian holography

2020 ◽  
Vol 9 (3) ◽  
Author(s):  
Daniel Arean ◽  
Karl Landsteiner ◽  
Ignacio Salazar Landea
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Quantum Theory ◽  
Finite Temperature ◽  
Similarity Transformation ◽  
Zero Temperature ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Linear Involution ◽  
Black Hole Solutions

Quantum theory can be formulated with certain non-Hermitian Hamiltonians. An anti-linear involution, denoted by PT, is a symmetry of such Hamiltonians. In the PT-symmetric regime the non-Hermitian Hamiltonian is related to a Hermitian one by a Hermitian similarity transformation. We extend the concept of non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. At zero temperature the PT phase transition is identified as the point at which the solutions cease to be real. Surprisingly at finite temperature real black hole solutions can be found well outside the quasi-Hermitian regime. These backgrounds are however unstable to fluctuations which establishes the persistence of the holographic dual of the PT phase transition at finite temperature.

scholarly journals GAUGE/GRAVITY DUALITY AND SOME APPLICATIONS

2010 ◽  
Vol 25 (34) ◽  
pp. 2859-2872 ◽  
Author(s):  
SPENTA R. WADIA
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Black Hole Physics ◽  
Higher Dimension ◽  
Strongly Coupled ◽  
Open Strings ◽  
Historical Continuity ◽  
Semiclassical Gravity ◽  
Gauge Gravity ◽  
Gravity Duality

We discuss the AdS/CFT correspondence in which spacetime emerges from an interacting theory of D-branes and open strings. These ideas have a historical continuity with QCD which is an interacting theory of quarks and gluons. In particular, we review the classic case of D3 branes and the non-conformal D1 brane system. We outline by some illustrative examples the calculations that are enabled in a strongly coupled gauge theory by correspondence with dynamical horizons in semiclassical gravity in one higher dimension. We also discuss implications of the gauge fluid/gravity correspondence for the information paradox of black hole physics.

scholarly journals Early thermalization, hydrodynamics and energy loss in AdS/CFT

2015 ◽  
Vol 24 (10) ◽  
pp. 1530011 ◽  
Author(s):  
Paul M. Chesler ◽  
Wilke van der Schee
Keyword(s):  
Energy Loss ◽  
Strong Coupling ◽  
Gauge Theories ◽  
Heavy Ion ◽  
Strongly Coupled ◽  
Equilibrium Dynamics ◽  
Ion Collisions ◽  
Far From Equilibrium ◽  
Gauge Gravity ◽  
Gravity Duality

Gauge/gravity duality has provided unprecedented opportunities to study dynamics in certain strongly coupled gauge theories. This review aims to highlight several applications to heavy ion collisions including far-from-equilibrium dynamics, hydrodynamics and jet energy loss at strong coupling.

Gauge/gravity duality — From lattice gauge theory to black hole

2017 ◽  
Vol 32 (36) ◽  
pp. 1747018 ◽  
Author(s):  
Daisuke Kadoh
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Finite Temperature ◽  
Lattice Gauge Theory ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality

The duality conjecture states that [Formula: see text]-dimensional maximally supersymmetric Yang–Mills theory at finite temperature is expected to be dual to the non extremal black [Formula: see text]-brane at large N. We perform the lattice simulations of SYM for [Formula: see text] to investigate the validity of the conjecture. We show that the conjecture is qualitatively valid by comparing lattice results of the black [Formula: see text]-branes mass with analytic expectations in the gravity side.

scholarly journals Review of lattice supersymmetry and gauge-gravity duality

2015 ◽  
Vol 30 (27) ◽  
pp. 1530054 ◽  
Author(s):  
Anosh Joseph
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Strongly Coupled ◽  
The Status ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Insight Into

We review the status of recent investigations on validating the gauge-gravity duality conjecture through numerical simulations of strongly coupled maximally supersymmetric thermal gauge theories. In the simplest setting, the gauge-gravity duality connects systems of D0-branes and black hole geometries at finite temperature to maximally supersymmetric gauged quantum mechanics at the same temperature. Recent simulations show that nonperturbative gauge theory results give excellent agreement with the quantum gravity predictions, thus proving strong evidence for the validity of the duality conjecture and more insight into quantum black holes and gravity.

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