scholarly journals ENTROPIC FORCE AND ITS FLUCTUATION IN EUCLIDEAN QUANTUM GRAVITY

2011 ◽  
Vol 26 (09) ◽  
pp. 1639-1650 ◽  
Author(s):  
YUE ZHAO
Keyword(s):  
Black Hole ◽  
Gravitational Force ◽  
Thermal Fluctuation ◽  
Flat Space ◽  
Thermodynamic Quantities ◽  
Entropic Force ◽  
Holographic Screen ◽  
Thermodynamic Variables ◽  
Gauge Gravity ◽  
Gravity Duality

In this paper, we study the idea about gravity as entropic force proposed by Verlinde. By interpreting Euclidean gravity in the language of thermodynamic quantities on holographic screen, we find the gravitational force can be calculated from the change of entropy on the screen. We show that normal gravity calculation can be reinterpreted in the language of thermodynamic variables. We also study the fluctuation of the force and find the fluctuation acting on the point-like particle can never be larger than the expectation value of the force. For a black hole in AdS space, by gauge/gravity duality, the fluctuation may be interpreted as arising from thermal fluctuation in the boundary description. And for a black hole in flat space, the ratio between fluctuation and force goes to a constant [Formula: see text] at infinity.

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 Testing the holographic principle using lattice simulations

2018 ◽  
Vol 175 ◽  
pp. 08004 ◽  
Author(s):  
Raghav G. Jha ◽  
Simon Catterall ◽  
David Schaich ◽  
Toby Wiseman
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Strong Coupling ◽  
Type Ii ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Made In

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory–Laflamme) between them.

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.

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.

Testing gauge/gravity duality on a quantum black hole

Science ◽  
2014 ◽  
Vol 344 (6186) ◽  
pp. 806-807 ◽  
Author(s):  
J. Maldacena
Keyword(s):  
Black Hole ◽  
Quantum Black Hole ◽  
Gauge Gravity ◽  
Gravity Duality

scholarly journals The Newman-Penrose map and the classical double copy

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Gilly Elor ◽  
Kara Farnsworth ◽  
Michael L. Graesser ◽  
Gabriel Herczeg
Keyword(s):  
Exact Solutions ◽  
Gauge Theories ◽  
Flat Space ◽  
Classical Setting ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Space Vacuum ◽  
Double Copy ◽  
Systematic Framework ◽  
Made In

Abstract Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories — a correspondence dubbed the double copy. Recently, double copies have also been realized in a classical setting, as maps between exact solutions of gauge theories and gravity. We present here a novel map between a certain class of real, exact solutions of Einstein’s equations and self-dual solutions of the flat-space vacuum Maxwell equations. This map, which we call the Newman-Penrose map, is well-defined even for non-vacuum, non-stationary spacetimes, providing a systematic framework for exploring gravity solutions in the context of the double copy that have not been previously studied in this setting. To illustrate this, we present here the Newman- Penrose map for the Schwarzschild and Kerr black holes, and Kinnersley’s photon rocket.

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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