scholarly journals CAN QUANTUM-CORRECTED BTZ BLACK HOLE ANTI-EVAPORATE?

1998 ◽  
Vol 13 (33) ◽  
pp. 2695-2704 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Hole ◽  
Effective Action ◽  
Quantum Evolution ◽  
S Wave ◽  
Btz Black Hole ◽  
Higher Modes ◽  
Wave Approximation ◽  
Large N ◽  
The One ◽  
Kaluza Klein

Kaluza–Klein reduction of 3-D gravity with minimal scalars leads to 2-D dilaton-Maxwell gravity with dilaton coupled scalars. Evaluating the one-loop effective action for dilaton coupled scalars in large-N and s-wave approximation, we apply it to study quantum evolution of BTZ black hole. It is shown that quantum-corrected BTZ BH may evaporate or else anti-evaporate which is similar to 4-D Nariai BH as is observed by Bousso and Hawking. Instable higher modes in the spectrum also indicate the possibility of proliferation of BTZ BH.

scholarly journals THERMODYNAMICS OF SCHWARZSCHILD–(ANTI-)DE SITTER BLACK HOLES WITH ACCOUNT OF QUANTUM CORRECTIONS

2000 ◽  
Vol 15 (07) ◽  
pp. 989-1010 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Effective Action ◽  
Quantum Correction ◽  
Quantum Corrections ◽  
De Sitter ◽  
S Wave ◽  
Wave Approximation ◽  
Quantum Matter ◽  
Large N ◽  
Gravitational Background

We discuss the quantum corrections to thermodynamics (and geometry) of S(A)dS BH's using large N one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found that the temperature, mass and entropy with account of quantum effects for multiply horizon SdS BH and SAdS BH which also gives the corresponding expressions for their limits: Schwarzschild and de Sitter spaces. In the last case one can talk about quantum correction to the entropy of an expanding universe. The anomaly induced action under discussion corresponds to 4d formulation (s-wave approximation, 4d quantum matter is a minimal one) as well as 2d formulation (complete effective action, 2d quantum matter is a dilaton coupled one). Hence, most of the results are given for the same gravitational background with interpretation as 4d quantum corrected BH or 2d quantum corrected dilatonic BH. Quantum aspects of thermodynamics of 4d 't Hooft BH model are also considered.

scholarly journals UNIFIED APPROACH TO STUDY QUANTUM PROPERTIES OF PRIMORDIAL BLACK HOLES, WORMHOLES AND OF QUANTUM COSMOLOGY

1999 ◽  
Vol 14 (20) ◽  
pp. 1309-1316 ◽  
Author(s):  
S. NOJIRI ◽  
O. OBREGON ◽  
S. D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Quantum Cosmology ◽  
Quantum Corrections ◽  
Primordial Black Holes ◽  
Unified Approach ◽  
S Wave ◽  
Singularity Problem ◽  
Wave Approximation ◽  
Quantum Properties ◽  
Large N

We review the anomaly induced effective action for dilaton coupled spinors and scalars in large-N and s-wave approximation. It may be applied to study the following fundamental problems: construction of quantum corrected black holes (BHs), inducing of primordial wormholes in the early Universe (this effect is confirmed) and the solution of initial singularity problem. The recently discovered anti-evaporation of multiple horizon BHs is discussed. The existence of such primordial BHs may be interpreted as SUSY manifestation. Quantum corrections to BHs thermodynamics may also be discussed within such scheme.

CASIMIR EFFECT IN MULTIDIMENSIONAL QUANTUM SUPER-GRAVITIES AND SUPERSYMMETRY BREAKING

1988 ◽  
Vol 03 (14) ◽  
pp. 1391-1399 ◽  
Author(s):  
S.D. ODINTSOV
Keyword(s):  
Effective Action ◽  
Casimir Effect ◽  
Gravitational Energy ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Dimensional Torus ◽  
Curved Space ◽  
Temperature Phase Transition ◽  
The One ◽  
Kaluza Klein

The one-loop effective action (the Casimir gravitational energy) of the aribitrary Einstein supergravity on the background [Formula: see text], where [Formula: see text] is the Minkowski space with non-zero temperature, Td is the d-dimensional torus, is calculated. The problem of quantum breaking of supersymmetry is discussed. The Vilkovisky-De Witt effective action in the D-dimensional Einstein gravity with the Λ-term on the background [Formula: see text] is found. An idea is expressed that a temperature phase transition in Kaluza-Klein theories is possible. For d=5 gravity, the Vilkovisky-De Witt effective action on the [Formula: see text], where [Formula: see text] is four-dimensional curved space-time with non-zero temperature, is found.

scholarly journals EFFECTIVE ACTION FOR CONFORMAL SCALARS AND ANTIEVAPORATION OF BLACK HOLES

1999 ◽  
Vol 14 (08) ◽  
pp. 1293-1304 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Effective Action ◽  
Quantum Evolution ◽  
Conformal Anomaly ◽  
General Effect ◽  
De Sitter ◽  
Conformally Invariant ◽  
Hole Radius ◽  
Maximal Mass

We study the one-loop effective action for N 4D conformally invariant scalars on the spherically symmetric background. The main part of the effective action is given by integration of the 4D conformal anomaly. This effective action (in large N approximation and partial curvature expansion) is applied to investigate the quantum evolution of Schwarzschild–de Sitter (SdS) black holes of maximal mass. We find that the effect (recently discovered by Bousso and Hawking for N minimal scalars and another approximate effective action) of antievaporation of nearly maximal SdS (Nariai) black holes also occurs in the model under consideration. Careful treatment of quantum corrections and perturbations modes of Nariai black holes is given, being quite complicated. It is shown that exists also perturbation where the black hole radius shrinks, i.e. the black hole evaporates. We point out that our result holds for a wide class of models, including conformal scalars, spinors and vectors. Hence, antievaporation of SdS black holes is a rather general effect which should be taken into account in quantum gravity considerations.

scholarly journals QUANTUM DILATONIC GRAVITY IN d=2,4 AND 5 DIMENSIONS

2001 ◽  
Vol 16 (06) ◽  
pp. 1015-1108 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Hole ◽  
Effective Action ◽  
Gauge Coupling ◽  
Conformal Anomaly ◽  
De Sitter ◽  
Nonzero Temperature ◽  
Four Dimensions ◽  
Yang Mills ◽  
Renormalization Group Equations ◽  
The One

We review (mainly) quantum effects in the theories where the gravity sector is described by metric and dilaton. The one-loop effective action for dilatonic gravity in two and four dimensions is evaluated. Renormalization group equations are constructed. The conformal anomaly and induced effective action for 2d and 4d dilaton coupled theories are found. It is applied to the study of quantum aspects of black hole thermodynamics, like calculation of Hawking radiation and quantum corrections to black hole parameters and investigation of quantum instability for such objects with multiple horizons. The use of the above effective action in the construction of nonsingular cosmological models in Einstein or Brans–Dicke (super)gravity and investigation of induced wormholes in supersymmetric Yang–Mills theory are given.5d dilatonic gravity (bosonic sector of compactified IIB supergravity) is discussed in connection with bulk/boundary (or AdS/CFT) correspondence. Running gauge coupling and quark–antiquark potential for boundary gauge theory at zero or nonzero temperature are calculated from d=5 dilatonic anti-de Sitter-like background solution which represents anti-de Sitter black hole for periodic time.

scholarly journals Infrared renormalon in $SU(N)$ QCD(adj.) on $\mathbb{R}^3\times S^1$

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Masahiro Ashie ◽  
Okuto Morikawa ◽  
Hiroshi Suzuki ◽  
Hiromasa Takaura ◽  
Kengo Takeuchi
Keyword(s):  
W Boson ◽  
Beta Function ◽  
Gluon Condensate ◽  
Large N ◽  
The One ◽  
Conventional Tool ◽  
Kaluza Klein ◽  
Twisted Boundary Conditions ◽  
Compactified Space ◽  
Weyl Fermions

Abstract We study the infrared renormalon in the gluon condensate in the $SU(N)$ gauge theory with $n_W$-flavor adjoint Weyl fermions (QCD(adj.)) on $\mathbb{R}^3\times S^1$ with the $\mathbb{Z}_N$ twisted boundary conditions. We rely on the so-called large-$\beta_0$ approximation as a conventional tool to analyze the renormalon, in which only Feynman diagrams that dominate in the large-$n_W$ limit are considered, while the coefficient of the vacuum polarization is set by hand to the one-loop beta function $\beta_0=11/3-2n_W/3$. In the large $N$ limit within the large-$\beta_0$ approximation, the W-boson, which acquires the twisted Kaluza–Klein momentum, produces the renormalon ambiguity corresponding to the Borel singularity at $u=2$. This provides an example that the system in the compactified space $\mathbb{R}^3\times S^1$ possesses the renormalon ambiguity identical to that in the uncompactified space $\mathbb{R}^4$. We also discuss the subtle issue that the location of the Borel singularity can change depending on the order of two necessary operations.

scholarly journals STRINGS IN AdS3 AND THE SL(2, R) WZW MODEL

2001 ◽  
Vol 16 (05) ◽  
pp. 677-682
Author(s):  
HIROSI OOGURI
Keyword(s):  
Hilbert Space ◽  
Black Hole ◽  
Partition Function ◽  
Long Strings ◽  
Three Dimensional ◽  
De Sitter Space ◽  
De Sitter ◽  
Btz Black Hole ◽  
Discrete States ◽  
The One

Strings in the three-dimensional anti-de Sitter space in the NS background is described by the SL(2, R) WZW model. We present a complete description of the Hilbert space of the model. We then compute the one-loop partition function for Euclidean BTZ black hole backgrounds or equivalently thermal AdS3 backgrounds which are quotients of Euclidean AdS3. We see long strings and discrete states in agreement with the structure of the Hilbert space.

scholarly journals Large N external-field quantum electrodynamics

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Felix Karbstein
Keyword(s):  
Electromagnetic Field ◽  
External Field ◽  
Effective Action ◽  
Quantum Electrodynamics ◽  
Strong Field ◽  
Loop Order ◽  
Field Limit ◽  
Effective Lagrangian ◽  
Large N ◽  
The One

Abstract We advocate the study of external-field quantum electrodynamics with N charged particle flavors. Our main focus is on the Heisenberg-Euler effective action for this theory in the large N limit which receives contributions from all loop orders. The contributions beyond one loop stem from one-particle reducible diagrams. We show that specifically in constant electromagnetic fields the latter are generated by the one-loop Heisenberg-Euler effective Lagrangian. Hence, in this case the large N Heisenberg-Euler effective action can be determined explicitly at any desired loop order. We demonstrate that further analytical insights are possible for electric-and magnetic-like field configurations characterized by the vanishing of one of the secular invariants of the electromagnetic field and work out the all-orders strong field limit of the theory.

scholarly journals Thermal interpretation of Schwinger effect in near-extremal RN black hole

2019 ◽  
Vol 28 (11) ◽  
pp. 1950139 ◽  
Author(s):  
Sang Pyo Kim ◽  
Hyun Kyu Lee ◽  
Yongsung Yoon
Keyword(s):  
Black Hole ◽  
Electric Field ◽  
Scalar Curvature ◽  
Effective Temperature ◽  
Effective Action ◽  
Coulomb Field ◽  
Schwinger Effect ◽  
The One ◽  
A Charge ◽  
Horizon Geometry

We propose a thermal interpretation of the Schwinger effect for charged spinless scalars and spin-1/2 fermions in an extremal and near-extremal Reissner–Nordström (RN) black hole. The emission of charges has the distribution with an effective temperature determined by the Davies–Unruh temperature for accelerating charges by the electric field and the scalar curvature of [Formula: see text] from the near-horizon geometry [Formula: see text]. We find a charge bound for the extremal micro-black hole to remain stable against the Schwinger emission in analogy with the Breitenlohner–Freedman bound for the [Formula: see text] space. In the in–out formalism, we find the one-loop QED effective action consistent with the vacuum persistence and interpret the vacuum persistence as the leading Schwinger effect and the effect of a charged vacuum of the Coulomb field.

Sign in / Sign up

Export Citation Format

Share Document