scholarly journals Replica wormholes and capacity of entanglement

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Kohki Kawabata ◽  
Tatsuma Nishioka ◽  
Yoshitaka Okuyama ◽  
Kento Watanabe
Keyword(s):  
Black Hole ◽  
High Temperature ◽  
Degrees Of Freedom ◽  
Temperature Limit ◽  
Thermal Capacity ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Wormhole Solution ◽  
Generalized Entropy ◽  
High Temperature Limit

Abstract We consider the capacity of entanglement as a probe of the Hawking radiation in a two-dimensional dilaton gravity coupled with conformal matter of large degrees of freedom. A formula calculating the capacity is derived using the gravitational path integral, from which we speculate that the capacity has a discontinuity at the Page time in contrast to the continuous behavior of the generalized entropy. We apply the formula to a replica wormhole solution in an eternal AdS black hole coupled to a flat non-gravitating bath and show that the capacity of entanglement is saturated by the thermal capacity of the black hole in the high temperature limit.

scholarly journals Ephemeral islands, plunging quantum extremal surfaces and BCFT channels

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Timothy J. Hollowood ◽  
S. Prem Kumar ◽  
Andrea Legramandi ◽  
Neil Talwar
Keyword(s):  
Black Hole ◽  
High Temperature ◽  
Special Class ◽  
Related Problem ◽  
Temperature Limit ◽  
Free Fermion ◽  
High Temperature Limit

Abstract We consider entanglement entropies of finite spatial intervals in Minkowski radiation baths coupled to the eternal black hole in JT gravity, and the related problem involving free fermion BCFT in the thermofield double state. We show that the non-monotonic entropy evolution in the black hole problem precisely matches that of the free fermion theory in a high temperature limit, and the results have the form expected for CFTs with quasiparticle description. Both exhibit rich behaviour that involves at intermediate times, an entropy saddle with an island in the former case, and in the latter a special class of disconnected OPE channels. The quantum extremal surfaces start inside the horizon, but can emerge from and plunge back inside as time evolves, accompanied by a characteristic dip in the entropy also seen in the free fermion BCFT. Finally an entropy equilibrium is reached with a no-island saddle.

scholarly journals WORMHOLES IN TWO-DIMENSIONAL DILATON GRAVITY

1994 ◽  
Vol 09 (11) ◽  
pp. 959-966 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
ICHIRO ODA
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Equations Of Motion ◽  
Quantum Corrections ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Curvature Singularity ◽  
Wormhole Solution ◽  
Global Event ◽  
Matter Perturbation

It is shown that the general solution of classical equations of motion in two-dimensional dilaton gravity proposed by Callan, Giddings, Harvey and Strominger (CGHS) includes a Lorentzian wormhole solution in addition to a black hole solution. We also show that matter perturbation of the wormhole by a shock wave leads to the formation of a black hole where the curvature singularity is cloaked by the global event horizon. It is also argued that the classical wormhole would be stable against quantum corrections.

scholarly journals Chiral symmetry transition in the linear sigma model with quarks: Counting effective QCD degrees of freedom from low to high temperature

2016 ◽  
Vol 31 (36) ◽  
pp. 1650199 ◽  
Author(s):  
Alejandro Ayala ◽  
Jorge David Castaño-Yepes ◽  
J. J. Cobos-Martínez ◽  
Saúl Hernández-Ortiz ◽  
Ana Julia Mizher ◽  
...  
Keyword(s):  
High Temperature ◽  
Chiral Symmetry ◽  
Temperature Regime ◽  
Degrees Of Freedom ◽  
Sigma Model ◽  
Temperature Limit ◽  
Coupling Constants ◽  
Linear Sigma Model ◽  
High Temperature Limit ◽  
Qcd Phase Diagram

We use the linear sigma model coupled to quarks, together with a plausible location of the critical end point (CEP), to study the chiral symmetry transition in the QCD phase diagram. We compute the effective potential at finite temperature and density up to the contribution of the ring diagrams, both in the low and high temperature limits, and use it to compute the pressure and the position of the CEP. In the high temperature regime, by comparing to results from extrapolated lattice data, we determine the model coupling constants. Demanding that the CEP remains in the same location when described in the high temperature limit, we determine again the couplings and the pressure for the low temperature regime. We show that this procedure gives an average description of the lattice QCD results for the pressure and that the change from the low to the high temperature domains in this quantity can be attributed to the change in the coupling constants which in turn we link to the change in the effective degrees of freedom.

scholarly journals A 4d $$ \mathcal{N} $$ = 1 Cardy Formula

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Joonho Kim ◽  
Seok Kim ◽  
Jaewon Song
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Asymptotic Behavior ◽  
High Temperature ◽  
Gauge Theory ◽  
Chemical Potential ◽  
Temperature Limit ◽  
Superconformal Index ◽  
High Temperature Limit ◽  
Cardy Formula

Abstract We study the asymptotic behavior of the (modified) superconformal index for 4d $$ \mathcal{N} $$ N = 1 gauge theory. By considering complexified chemical potential, we find that the ‘high-temperature limit’ of the index can be written in terms of the conformal anomalies 3c − 2a. We also find macroscopic entropy from our asymptotic free energy when the Hofman-Maldacena bound 1/2 < a/c < 3/2 for the interacting SCFT is satisfied. We study $$ \mathcal{N} $$ N = 1 theories that are dual to AdS5 × Yp,p and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.

scholarly journals THERMODYNAMIC DUALITY BETWEEN RN BLACK HOLE AND 2D DILATON GRAVITY

2008 ◽  
Vol 23 (02) ◽  
pp. 91-98 ◽  
Author(s):  
YUN SOO MYUNG ◽  
YONG-WAN KIM ◽  
YOUNG-JAI PARK
Keyword(s):  
Black Hole ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Horizon Thermodynamics

All thermodynamic quantities of the Reissner–Nordström (RN) black hole can be obtained from the dilaton and its potential of two-dimensional (2D) dilaton gravity. The dual relations of four thermodynamic laws are also established. Furthermore, the near-horizon thermodynamics of the extremal RN black hole is completely described by the Jackiw–Teitelboim theory which is obtained by perturbing around the AdS2-horizon.

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