scholarly journals Rescuing a black hole in the large-q coupled SYK model

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Yuri D. Lensky ◽  
Xiao-Liang Qi
Keyword(s):  
Black Hole ◽  
Energy Region ◽  
Low Energy ◽  
Time Dependent ◽  
Effective Theory ◽  
Initial State ◽  
Black Hole Singularity ◽  
Dimensional Black Hole ◽  
Dual Interpretation ◽  
Energy Theory

Abstract In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show how the evolution of the system is described by a complex reparametrization field with a classical Hamiltonian. We study correlation functions in this system and compare the large-q theory with the bulk low energy effective theory. In particular, we study the special case of a “rescued black hole”, which describes how a time-evolved thermofield double state can evolve to the ground state of a coupled SYK model by a carefully tuned time-dependent coupling. In the low energy region, there is a holographic dual interpretation, which is a geometry that crosses over from an eternal black hole to a global AdS2 vacuum. This family of geometries allow us to access the bulk region that would be the black hole interior without the rescue process. By comparing the large-q and low energy theory, we find that even in the low energy region the deviation from the low energy theory cannot be neglected if the rescue process starts late. This provides evidence that the low energy effective theory of the bulk fails near the inner horizon of the black hole. We note the possibility of a connection to a two-dimensional analog of the higher-dimensional black hole singularity.

scholarly journals SPACE–TIME AND MATTER IN THE IIB MATRIX MODEL — GAUGE SYMMETRY AND DIFFEOMORPHISM

2000 ◽  
Vol 15 (05) ◽  
pp. 651-666 ◽  
Author(s):  
SATOSHI ISO ◽  
HIKARU KAWAI
Keyword(s):  
Gauge Symmetry ◽  
Matrix Model ◽  
Space Time ◽  
Low Energy ◽  
Effective Theory ◽  
General Covariance ◽  
Distribution Of Eigenvalues ◽  
Energy Theory ◽  
Definition Of ◽  
Small Clusters

We pursue a study of the type-IIB matrix model as a constructive definition of a superstring. In this paper, we justify the interpretation of space–time as being a distribution of eigenvalues of matrices by showing that some low-energy excitations indeed propagate in it. In particular, we show that if the distribution consists of small clusters of size n, low-energy theory acquires local SU(n) gauge symmetry, and a plaquette action for the associated gauge boson is induced. We finally argue a possible identification of the diffeomorphism symmetry with a permutation group acting on the set of eigenvalues, and show that general covariance is realized in the low-energy effective theory, even though we do not have a manifest general covariance in the IIB matrix model action.

scholarly journals ON THE ENTROPY OF MINIMALLY COUPLED AND NONMINIMALLY COUPLED GRAVITIES

1996 ◽  
Vol 11 (25) ◽  
pp. 2037-2045 ◽  
Author(s):  
JEONG-WON HO ◽  
YONGDUK KIM ◽  
YOUNG-JAI PARK
Keyword(s):  
Black Hole ◽  
Thermodynamic Properties ◽  
Conformal Transformation ◽  
Low Energy ◽  
Bosonic String ◽  
Effective Theory ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Theory Of Gravity ◽  
Electrically Charged

We investigate whether the gravitational thermodynamic properties of the scalar-tensor theory of gravity are affected by the conformal transformation or not. As an explicit example, we consider an electrically charged static spherical black hole in four-dimensional low energy effective theory of bosonic string.

scholarly journals A TIME-DEPENDENT CLASSICAL SOLUTION OF c=1 STRING FIELD THEORY AND NONPERTURBATIVE EFFECTS

1993 ◽  
Vol 08 (21) ◽  
pp. 3811-3828 ◽  
Author(s):  
AVINASH DHAR ◽  
GAUTAM MANDAL ◽  
SPENTA R. WADIA
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Phase Space ◽  
Nonperturbative Effects ◽  
Classical Solution ◽  
String Field Theory ◽  
Time Dependent ◽  
Phase Space Density ◽  
Two Dimensional ◽  
Dimensional Black Hole

We describe a real-time classical solution of c=1 string field theory written in terms of the phase space density, u(p, q, t), of the equivalent fermion theory. The solution corresponds to tunnelling of a single fermion above the filled Fermi sea and leads to amplitudes that go as exp(−C/g str ). We discuss how one can use this technique to describe nonperturbative effects in the Marinari-Parisi model. We also discuss implications of this type of solution for the two-dimensional black hole.

scholarly journals The black hole interior and the type II Weyl fermions

2018 ◽  
Vol 33 (07n08) ◽  
pp. 1850047 ◽  
Author(s):  
M. A. Zubkov
Keyword(s):  
Black Hole ◽  
Standard Model ◽  
Fermi Surface ◽  
Momentum Space ◽  
Low Energy ◽  
Effective Theory ◽  
Type Ii ◽  
The Standard Model ◽  
Weyl Semimetals ◽  
Black Hole Interior

It was proposed recently that the black hole may undergo a transition to the state, where inside the horizon the Fermi surface is formed that reveals an analogy with the recently discovered type II Weyl semimetals. In this scenario, the low energy effective theory outside of the horizon is the Standard Model, which describes excitations that reside near a certain point [Formula: see text] in momentum space of the hypothetical unified theory. Inside the horizon the low energy physics is due to the excitations that reside at the points in momentum space close to the Fermi surface. We argue that those points may be essentially distant from [Formula: see text] and, therefore, inside the black hole the quantum states are involved in the low energy dynamics that are not described by the Standard Model. We analyze the consequences of this observation for the physics of the black holes and present the model based on the direct analogy with the type II Weyl semimetals, which illustrates this pattern.

scholarly journals EFFECTIVE LOW-ENERGY THEORIES AND QCD DIRAC SPECTRA

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1404-1415 ◽  
Author(s):  
D. TOUBLAN ◽  
J. J. M. VERBAARSCHOT
Keyword(s):  
Partition Function ◽  
Dirac Operator ◽  
Spectral Density ◽  
Random Matrix ◽  
Matrix Theory ◽  
Low Energy ◽  
Effective Theory ◽  
Kinetic Term ◽  
Dirac Spectrum ◽  
Energy Theory

We analyze the smallest Dirac eigenvalues by formulating an effective theory for the Dirac spectrum. We find that in a domain where the kinetic term of the effective theory can be ignored, the Dirac eigenvalues are distributed according to a Random Matrix Theory with the global symmetries of the QCD partition function. The kinetic term provides information on the slope of the average spectral density of the Dirac operator. In the second half of this lecture we interpret quenched QCD Dirac spectra (with eigenvalues scattered in the complex plane) in terms of an effective low energy theory.

BLACK HOLE FORMATION VIA TACHYON CONDENSATION

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2176-2177
Author(s):  
TAKAO SUYAMA
Keyword(s):  
Black Hole ◽  
Tachyon Condensation ◽  
Closed String ◽  
Space Time ◽  
Low Energy ◽  
The Other ◽  
Effective Theory ◽  
Classical Solutions ◽  
Hole Formation ◽  
Black Hole Formation

We investigate a possibility for a black hole to be created during closed string tachyon condensation. For the case of a bulk closed string tachyon, we find classical solutions of a low energy effective theory which has a black hole in the space-time. On the other hand, for the case of a localized closed string tachyon, a black hole, if created, would be of the string size and it would quickly evaporate.

scholarly journals STRINGY QUANTUM EFFECTS IN TWO-DIMENSIONAL BLACK HOLE

1992 ◽  
Vol 07 (39) ◽  
pp. 3703-3715 ◽  
Author(s):  
AVINASH DHAR ◽  
GAUTAM MANDAL ◽  
SPENTA R. WADIA
Keyword(s):  
Black Hole ◽  
Semiclassical Approximation ◽  
Classical Equation ◽  
Quantum Effects ◽  
Equation Of Motion ◽  
Two Dimensional ◽  
Black Hole Singularity ◽  
Black Hole Background ◽  
Classical Singularity ◽  
Dimensional Black Hole

We discuss the classical two-dimensional black hole in the framework of the non-perturbative formulation (in terms of non-relativistic fermions) of c=1 string field theory. We identify an off-shell operator whose classical equation of motion is that of tachyon in the classical graviton-dilaton black hole background. The black hole ‘singularity’ is identified with the Fermi surface in the phase space of a single fermion, and as such is a consequence of the semiclassical approximation. An exact treatment reveals that stringy quantum effects wash away the classical singularity.

scholarly journals MANIFESTLY O(d,d) INVARIANT APPROACH TO SPACE-TIME DEPENDENT STRING VACUA

1991 ◽  
Vol 06 (37) ◽  
pp. 3397-3404 ◽  
Author(s):  
K. A. MEISSNER ◽  
G. VENEZIANO
Keyword(s):  
Black Hole ◽  
Renormalization Group ◽  
General Solution ◽  
Equations Of Motion ◽  
Space Time ◽  
Low Energy ◽  
Time Dependent ◽  
Energy Equations ◽  
Invariant Approach ◽  
Black Hole Solutions

An O(d,d) symmetry of the manifold of string vacua that do not depend on d (out of D) space-time coordinates has been recently identified. Here we write down, for d=D-1, the low energy equations of motion and their general solution in a manifestly O(d,d)-invariant form, pointing out an amusing similarity with the renormalization group framework. Previously considered cosmological and black hole solutions are reproduced as particular examples.

Photoinduced Charge Transfer Dynamics in Carotenoid-Porphyrin-C60 Triad via the Linearized Semiclassical Nonequilibrium Fermi's Golden Rule

2020 ◽  
Author(s):  
Zhengqing Tong ◽  
Margaret S. Cheung ◽  
Barry D. Dunietz ◽  
Eitan Geva ◽  
Xiang Sun
Keyword(s):  
Charge Transfer ◽  
Golden Rule ◽  
Time Dependent ◽  
Rate Coefficients ◽  
Initial State ◽  
Photoinduced Charge Transfer ◽  
Transfer Rates ◽  
Fermi's Golden Rule ◽  
Photoinduced Charge ◽  
Fermi’S Golden Rule

The nonequilibrium Fermi’s golden rule (NE-FGR) describes the time-dependent rate coefficient for electronic transitions, when the nuclear degrees of freedom start out in a <i>nonequilibrium</i> state. In this letter, the linearized semiclassical (LSC) approximation of the NE-FGR is used to calculate the photoinduced charge transfer rates in the carotenoid-porphyrin-C<sub>60</sub> molecular triad dissolved in explicit tetrahydrofuran. The initial nonequilibrium state corresponds to impulsive photoexcitation from the equilibrated ground-state to the ππ* state, and the porphyrin-to-C<sub>60</sub> and the carotenoid-to-C<sub>60</sub> charge transfer rates are calculated. Our results show that accounting for the nonequilibrium nature of the initial state significantly enhances the transition rate of the porphyrin-to-C<sub>60</sub> CT process. We also derive the instantaneous Marcus theory (IMT) from LSC NE-FGR, which casts the CT rate coefficients in terms of a Marcus-like expression, with explicitly time-dependent reorganization energy and reaction free energy. IMT is found to reproduce the CT rates in the system under consideration remarkably well.

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