# 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:

- 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}

}

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