scholarly journals BLACK HOLE THERMODYNAMICS FROM CALCULATIONS IN STRONGLY COUPLED GAUGE THEORY

2001 ◽  
Vol 16 (05) ◽  
pp. 856-865 ◽  
Author(s):  
DANIEL KABAT ◽  
GILAD LIFSCHYTZ ◽  
DAVID LOWE
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Gauge Theory ◽  
Density Matrix ◽  
Finite Temperature ◽  
Approximation Scheme ◽  
Black Hole Thermodynamics ◽  
Extremal Black Hole ◽  
Strongly Coupled ◽  
Large N

We develop an approximation scheme for the quantum mechanics of N D0-branes at finite temperature in the 't Hooft large-N limit. The entropy of the quantum mechanics calculated using this approximation agrees well with the Bekenstein-Hawking entropy of a ten-dimensional non-extremal black hole with 0-brane charge. This result is in accord with the duality conjectured by Itzhaki, Maldacena, Sonnenschein and Yankielowicz. Our approximation scheme provides a model for the density matrix which describes a black hole in the strongly-coupled quantum mechanics.

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.

Black Hole Thermodynamics from Calculations in Strongly Coupled Gauge Theory

2001 ◽  
Vol 86 (8) ◽  
pp. 1426-1429 ◽  
Author(s):  
Daniel Kabat ◽  
Gilad Lifschytz ◽  
David A. Lowe
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Black Hole Thermodynamics ◽  
Strongly Coupled

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.

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 Prospecting black hole thermodynamics with fractional quantum mechanics

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
S. Jalalzadeh ◽  
F. Rodrigues da Silva ◽  
P. V. Moniz
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Main Tool ◽  
Acta Math ◽  
Black Hole Thermodynamics ◽  
Point Of View ◽  
Black Hole Mass ◽  
Fractional Quantum ◽  
C 73 ◽  
Fractional Parameter

AbstractThis paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a space-fractional derivative (Riesz in Acta Math 81:1, 1949) as our main tool. Moreover, we restrict our analysis to the case of a Schwarzschild configuration. From a subsequently modified Wheeler–DeWitt equation, we retrieve the corresponding expressions for specific observables. Namely, the black hole mass spectrum, M, its temperature T, and entropy, S. We find that these bear consequential alterations conveyed through a fractional parameter, $$\alpha $$ α . In particular, the standard results are recovered in the specific limit $$\alpha =2$$ α = 2 . Furthermore, we elaborate how generalizations of the entropy-area relation suggested by Tsallis and Cirto (Eur Phys J C 73:2487, 2013) and Barrow (Phys Lett B 808:135643, 2020) acquire a complementary interpretation in terms of a fractional point of view. A thorough discussion of our results is presented.

scholarly journals Can Naked Singularities Exist Without Violating The Laws of Black Hole Thermodynamics?

2021 ◽  
Vol 19 ◽  
pp. 204-207
Author(s):  
Amal Pushp
Keyword(s):  
Black Hole ◽  
Cosmic Censorship ◽  
Black Hole Thermodynamics ◽  
Surface Gravity ◽  
Extremal Black Hole ◽  
Naked Singularities ◽  
The Third ◽  
Physical Singularity ◽  
Third Law ◽  
Cosmic Censorship Conjecture

According to the cosmic censorship conjecture, it is impossible for nature to have a physical singularity without a horizon because if it were to arise in any formalism, for instance as an extremal black hole (Kerr or Reissner-Nordstrom) then the surface gravity κ = 0, which is a strict violation of the third law of black hole thermodynamics. In this paper we explore whether a true singularity can exist without defying this law.

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.

Sign in / Sign up

Export Citation Format

Share Document