scholarly journals Trace anomaly induced effective action and 2D black holes for dilaton coupled supersymmetric theories

1998 ◽  
Vol 57 (8) ◽  
pp. 4847-4855 ◽  
Author(s):  
Shin’ichi Nojiri ◽  
Sergei D. Odintsov
Keyword(s):  
Black Holes ◽  
Effective Action ◽  
Trace Anomaly ◽  
Supersymmetric Theories

scholarly journals Trace Anomaly and Nonlocal Effective Action for 2-D Conformally Invariant Scalar Interacting with Dilaton

1997 ◽  
Vol 12 (28) ◽  
pp. 2083-2087 ◽  
Author(s):  
Shin'ichi Nojiri ◽  
Sergei D. Odintsov
Keyword(s):  
Black Holes ◽  
Effective Action ◽  
Conformal Anomaly ◽  
Back Reaction ◽  
Conformally Invariant ◽  
Trace Anomaly ◽  
Invariant Scalar ◽  
The One

Using the results of the calculation of the one-loop effective action (E. Elizalde et al., Phys. Rev.D49, 2852 (1994)), we find the trace anomaly for most general conformally invariant 2-D dilaton coupled scalar–dilaton system (the contribution of dilaton itself is included). The nonlocal effective action induced by conformal anomaly for such system is found. That opens new possibilities in generalizing of CGHS-like model for the study of back-reaction of matter to 2-D black holes.

scholarly journals Trace-anomaly-induced effective action for 2D and 4D dilaton coupled scalars

1998 ◽  
Vol 57 (4) ◽  
pp. 2363-2371 ◽  
Author(s):  
Shin’ichi Nojiri ◽  
Sergei D. Odintsov
Keyword(s):  
Effective Action ◽  
Trace Anomaly

scholarly journals Constructing black hole solutions in supergravity theories

2019 ◽  
Vol 34 (35) ◽  
pp. 1930017 ◽  
Author(s):  
Antonio Gallerati
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Supergravity Models ◽  
Detailed Analysis ◽  
Black Hole Solution ◽  
Explicit Construction ◽  
General Introduction ◽  
Supersymmetric Theories ◽  
Black Hole Solutions

We perform a detailed analysis of black hole solutions in supergravity models. After a general introduction on black holes in general relativity and supersymmetric theories, we provide a detailed description of ungauged extended supergravities and their dualities. Therefore, we analyze the general form of black hole configurations for these models, their near-horizon behavior and characteristic of the solution. An explicit construction of a black hole solution with its physical implications is given for the STU-model. The second part of this review is dedicated to gauged supergravity theories. We describe a step-by-step gauging procedure involving the embedding tensor formalism to be used to obtain a gauged model starting from an ungauged one. Finally, we analyze general black hole solutions in gauged models, providing an explicit example for the [Formula: see text], [Formula: see text] case. A brief review on special geometry is also provided, with explicit results and relations for supersymmetric black hole solutions.

scholarly journals Effective action of softly broken supersymmetric theories

2007 ◽  
Vol 75 (4) ◽  
Author(s):  
Stefan Groot Nibbelink ◽  
Tino S. Nyawelo
Keyword(s):  
Effective Action ◽  
Supersymmetric Theories

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.

GEOMETRICAL DERIVATION OF THE FADDEEV-POPOV ANSATZ

1989 ◽  
Vol 04 (24) ◽  
pp. 2397-2407 ◽  
Author(s):  
P. ELLICOTT ◽  
G. KUNSTATTER ◽  
D.J. TOMS
Keyword(s):  
Invariant Measure ◽  
Sigma Models ◽  
Configuration Space ◽  
Effective Action ◽  
General Class ◽  
Gauge Theories ◽  
Yang Mills ◽  
Linear Sigma Models ◽  
Supersymmetric Theories

A geometrical derivation of the Faddeev-Popov measure is presented. This derivation is valid in any gauge for a general class of gauge theories, including Yang-Mills theory, gravitation and non-linear sigma models, and can easily be generalized to include supersymmetric theories. We stress the role of a non-trivial, finite contribution to the effective action from the invariant measure on the orbit over each point in the physical configuration space.

scholarly journals THE TRACE ANOMALY AND DYNAMICAL VACUUM ENERGY IN COSMOLOGY

2010 ◽  
Vol 25 (11) ◽  
pp. 2391-2408 ◽  
Author(s):  
EMIL MOTTOLA
Keyword(s):  
Effective Action ◽  
Vacuum Energy ◽  
Extreme Ultraviolet ◽  
Planck Scale ◽  
Scalar Fields ◽  
Effective Field ◽  
Massless Scalar ◽  
Energy Tensor ◽  
Theory Approach ◽  
Trace Anomaly

The trace anomaly of conformal matter implies the existence of massless scalar poles in physical amplitudes involving the stress-energy tensor. These poles may be described by a local effective action with massless scalar fields, which couple to classical sources, contribute to gravitational scattering processes, and can have long range gravitational effects at macroscopic scales. In an effective field theory approach, the effective action of the anomaly is an infrared relevant term that should be added to the Einstein-Hilbert action of classical General Relativity to take account of macroscopic quantum effects. The additional scalar degrees of freedom contained in this effective action may be understood as responsible for both the Casimir effect in flat spacetime and large quantum backreaction effects at the horizon scale of cosmological spacetimes. These effects of the trace anomaly imply that the cosmological vacuum energy is dynamical, and its value depends on macroscopic boundary conditions at the cosmological horizon scale, rather than sensitivity to the extreme ultraviolet Planck scale.

2D BLACK HOLES AND DIMENSIONAL REDUCTION

2002 ◽  
Vol 17 (20) ◽  
pp. 2745-2745
Author(s):  
R. BALBINOT ◽  
A. FABBRI
Keyword(s):  
Black Holes ◽  
Effective Action ◽  
Canonical Quantization ◽  
Scalar Fields ◽  
Mathematical Treatment ◽  
Energy Tensor ◽  
Asymptotic Results ◽  
Stress Energy ◽  
Point Splitting ◽  
Quantum Stress Tensor

The use of lower-dimensional models is exploited in many areas of physics as a way to simplify the mathematical treatment of very complicated phenomena while, at the same time, retaining the main physical ingredients. For the case of black holes, the Hawking evaporation process1 can be understood using a simple model where the gravity action is coupled to quantized matter in the form of free two-dimensional minimal scalar fields. In particular, the effective action one derives by straightforward integration of the trace anomaly2 gives a stress energy tensor which in the Schwarzschild spacetime perfectly agrees with the results one gets by standard canonical quantization. Trying to improve the model, i.e. by employing a spherically reduced 4d minimal scalar field3, one faces a number of difficulties. Unphysical results obtained for the evaporation of black holes (such as antievaporation3,4) using the anomaly induced effective action led us to perform a rigorous calculation of the quantum stress tensor in Schwarzschild by using the point-splitting regularization technique5: exact asymptotic results close to the horizon and at infinity have been derived in the three quantum states of interest (namely Boulware, Hartle-Hawking and Unruh) and two analytic approximations proposed , one valid for large r (based on the WKB) and the other being physically meaningful in the region close to the horizon. Finally, based on these results a "phenomenological" modification of the (unsatisfactory) anomaly induced effective action has been carried out6.

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.

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