scholarly journals Effective theories of coupled classical and quantum variables from decoherent histories: A new approach to the back reaction problem

1998 ◽  
Vol 57 (4) ◽  
pp. 2337-2348 ◽  
Author(s):  
J. J. Halliwell
Keyword(s):  
Back Reaction ◽  
New Approach ◽  
Decoherent Histories ◽  
Effective Theories ◽  
Reaction Problem

The thermodynamical approach to the back reaction problem

1993 ◽  
Vol 25 (12) ◽  
pp. 1267-1275 ◽  
Author(s):  
Chao Guang Huang ◽  
Liao Liu ◽  
Zheng Zhao
Keyword(s):  
Back Reaction ◽  
Reaction Problem

scholarly journals VACUUM QUANTUM EFFECTS OF NONCONFORMAL SCALAR FIELD IN A NONSINGULAR COSMOLOGICAL MODEL

1998 ◽  
Vol 07 (05) ◽  
pp. 779-792 ◽  
Author(s):  
M. NOVELLO ◽  
V. B. BEZERRA ◽  
V. M. MOSTEPANENKO
Keyword(s):  
Scalar Field ◽  
Energy Density ◽  
Negative Energy ◽  
Back Reaction ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Negative Energy Density ◽  
Stress Energy ◽  
Nonsingular Cosmological Model ◽  
Reaction Problem

The total vacuum stress-energy tensor of nonconformal scalar field is calculated in a nonsingular metric determined by some background matter with the effective negative energy density and pressure. The corrections due to the field nonconformity are shown to dominate the conformal contributions for some cases. The back reaction problem of vacuum stress-energy tensor upon the background metric is also discussed.

scholarly journals Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 297
Author(s):  
João Marto
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Quantum States ◽  
Simplified Model ◽  
Back Reaction ◽  
Black Hole Evaporation ◽  
Quantum Geometrodynamics ◽  
Reaction Problem

The purpose of this paper is to analyse the back reaction problem, between Hawking radiation and the black hole, in a simplified model for the black hole evaporation in the quantum geometrodynamics context. The idea is to transcribe the most important characteristics of the Wheeler-DeWitt equation into a Schrödinger’s type of equation. Subsequently, we consider Hawking radiation and black hole quantum states evolution under the influence of a potential that includes back reaction. Finally, entropy is estimated as a measure of the entanglement between the black hole and Hawking radiation states in this model.

A Comparison of Various Approaches to the Back-Reaction Problem

1993 ◽  
Vol 221 (2) ◽  
pp. 217-228 ◽  
Author(s):  
T. Padmanabhan ◽  
T.P. Singh
Keyword(s):  
Back Reaction ◽  
Reaction Problem

scholarly journals Regularization, renormalization and consistency conditions in QED with x-electric potential steps

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
S. P. Gavrilov ◽  
D. M. Gitman
Keyword(s):  
Consistency Condition ◽  
Momentum Tensor ◽  
Inner Product ◽  
Uniform Electric Field ◽  
Back Reaction ◽  
Refined Formulation ◽  
Vacuum Instability ◽  
Important Addition ◽  
Finite Distance ◽  
Reaction Problem

AbstractThe present article is an important addition to the nonperturbative formulation of QED with x-steps presented by Gavrilov and Gitman (Phys. Rev. D. 93:045002, 2016). Here we propose a new renormalization and volume regularization procedures which allow one to calculate and distinguish physical parts of different matrix elements of operators of the current and of the energy–momentum tensor, at the same time relating the latter quantities with characteristics of the vacuum instability. For this purpose, a modified inner product and a parameter $$\tau $$ τ of the regularization are introduced. The latter parameter can be fixed using physical considerations. In the Klein zone this parameter can be interpreted as the time of the observation of the pair-production effect. In the refined formulation of QED with x-steps, we succeeded to consider the back-reaction problem. In the case of an uniform electric field E confined between two capacitor plates separated by a finite distance L, we see that the smallness of the back-reaction implies a restriction (the consistency condition) on the product EL from above.

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