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Title: Vacuum polarization of the quantized massive scalar field in Reissner-Nordstroem spacetime

Abstract

The approximation of the renormalized stress-energy tensor of the quantized massive scalar field in Reissner-Nordstroem spacetime is constructed. It is achieved by functional differentiation of the first two nonvanishing terms of the Schwinger-DeWitt expansion involving the coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficients [a{sub 3}] and [a{sub 4}] with respect to the metric tensor. It is shown, by comparison with the existing numerical results, that inclusion of the second-order term leads to substantial improvement of the approximation of the exact stress-energy tensor. The approximation to the field fluctuation, <{phi}{sup 2}>, is constructed and briefly discussed.

Authors:
; ;  [1]
  1. Institute of Physics, Maria Curie-Sklodowska University, pl. Marii Curie-Sklodowskiej 1, 20-031 Lublin (Poland)
Publication Date:
OSTI Identifier:
21408095
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 81; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.81.124047; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; COMPARATIVE EVALUATIONS; EXPANSION; FLUCTUATIONS; METRICS; SCALAR FIELDS; SIMULATION; SPACE-TIME; VACUUM POLARIZATION; CALCULATION METHODS; EVALUATION; VARIATIONS

Citation Formats

Matyjasek, Jerzy, Tryniecki, Dariusz, and Zwierzchowska, Katarzyna. Vacuum polarization of the quantized massive scalar field in Reissner-Nordstroem spacetime. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.124047.
Matyjasek, Jerzy, Tryniecki, Dariusz, & Zwierzchowska, Katarzyna. Vacuum polarization of the quantized massive scalar field in Reissner-Nordstroem spacetime. United States. doi:10.1103/PHYSREVD.81.124047.
Matyjasek, Jerzy, Tryniecki, Dariusz, and Zwierzchowska, Katarzyna. Tue . "Vacuum polarization of the quantized massive scalar field in Reissner-Nordstroem spacetime". United States. doi:10.1103/PHYSREVD.81.124047.
@article{osti_21408095,
title = {Vacuum polarization of the quantized massive scalar field in Reissner-Nordstroem spacetime},
author = {Matyjasek, Jerzy and Tryniecki, Dariusz and Zwierzchowska, Katarzyna},
abstractNote = {The approximation of the renormalized stress-energy tensor of the quantized massive scalar field in Reissner-Nordstroem spacetime is constructed. It is achieved by functional differentiation of the first two nonvanishing terms of the Schwinger-DeWitt expansion involving the coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficients [a{sub 3}] and [a{sub 4}] with respect to the metric tensor. It is shown, by comparison with the existing numerical results, that inclusion of the second-order term leads to substantial improvement of the approximation of the exact stress-energy tensor. The approximation to the field fluctuation, <{phi}{sup 2}>, is constructed and briefly discussed.},
doi = {10.1103/PHYSREVD.81.124047},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 81,
place = {United States},
year = {2010},
month = {6}
}