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Title: Vacuum polarization in gravitational and electromagnetic fields around a superconducting string

Abstract

We have calculated the polarization current induced in the physical vacuum around a superconducting cosmic string taking into account the gravitational field of the string. The current can be calculated as an expansion in powers of the inverse of the electron mass. In the region far from the string, where it is justified to keep only the lowest term of this expansion, the polarization current turns out to screen the original current in the string, but the effect is very weak. A direct calculation of terms due to the presence of the gravitational field shows that they are dominated, for realistic string parameters, by the purely electromagnetic contribution.

Authors:
 [1];  [2]
  1. (Nicolaus Copernicus Astronomical Centre, Polish Academy of Sciences, 00-716 Warsaw, ul. Bartycka 18, Poland (PL))
  2. (Institute for Theoretical Physics, University of Warsaw, 00-681 Warsaw, ul. Hoza 69, Poland)
Publication Date:
OSTI Identifier:
5594692
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review (Section) D: Particles and Fields; (USA); Journal Volume: 40:6
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGICAL MODELS; TOPOLOGY; ELECTROMAGNETIC FIELDS; VACUUM POLARIZATION; GRAVITATIONAL FIELDS; ENERGY-MOMENTUM TENSOR; MASS RENORMALIZATION; QUANTUM ELECTRODYNAMICS; STRING MODELS; SUPERCONDUCTIVITY; SYMMETRY BREAKING; UNIVERSE; COMPOSITE MODELS; ELECTRIC CONDUCTIVITY; ELECTRICAL PROPERTIES; ELECTRODYNAMICS; EXTENDED PARTICLE MODEL; FIELD THEORIES; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE MODELS; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; QUARK MODEL; RENORMALIZATION; TENSORS; 640106* - Astrophysics & Cosmology- Cosmology; 645400 - High Energy Physics- Field Theory

Citation Formats

Mankiewicz, L., and Misiak, M. Vacuum polarization in gravitational and electromagnetic fields around a superconducting string. United States: N. p., 1989. Web. doi:10.1103/PhysRevD.40.2134.
Mankiewicz, L., & Misiak, M. Vacuum polarization in gravitational and electromagnetic fields around a superconducting string. United States. doi:10.1103/PhysRevD.40.2134.
Mankiewicz, L., and Misiak, M. 1989. "Vacuum polarization in gravitational and electromagnetic fields around a superconducting string". United States. doi:10.1103/PhysRevD.40.2134.
@article{osti_5594692,
title = {Vacuum polarization in gravitational and electromagnetic fields around a superconducting string},
author = {Mankiewicz, L. and Misiak, M.},
abstractNote = {We have calculated the polarization current induced in the physical vacuum around a superconducting cosmic string taking into account the gravitational field of the string. The current can be calculated as an expansion in powers of the inverse of the electron mass. In the region far from the string, where it is justified to keep only the lowest term of this expansion, the polarization current turns out to screen the original current in the string, but the effect is very weak. A direct calculation of terms due to the presence of the gravitational field shows that they are dominated, for realistic string parameters, by the purely electromagnetic contribution.},
doi = {10.1103/PhysRevD.40.2134},
journal = {Physical Review (Section) D: Particles and Fields; (USA)},
number = ,
volume = 40:6,
place = {United States},
year = 1989,
month = 9
}
  • The contributions of the scalar massless, neutrino, and electromagnetic fields to the vacuum polarization in the gravitational field of a cosmic string are found.
  • The gravitational vacuum polarization of conformally coupled quantum fields in the spacetime of a uniform-density, static, spherical star is studied using the approximation developed by Page, Brown, and Ottewill. Approximate vacuum stress-energy tensors are calculated for conformal massless scalar, spinor, and vector fields; in the case of vector fields, both dimensionally regularized and zeta-function results are given. Explicit algebraic forms for the stress-energy tensors are given for the interior of the star and for the exterior Schwarzschild region. If the vacuum stress energy is to be conserved and have the correct trace anomaly at the surface of the star, itmore » is necessary that there be distributional terms in the vacuum stress energy at the surface. The nature and magnitude of these terms are determined. The semiclassical Einstein equations are solved in the exterior region of the star to first order in (h/2..pi..), and the first quantum corrections to Kepler's third law are found.« less
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  • The renormalized mean value of the quantum Lagrangian and the corresponding components of the energy-momentum tensor for massive spinor fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The general results are employed to explicitly derive compact analytical expressions for the quantum mean Lagrangian and Energy-Momentum tensor in the particular background of the black-string spacetime.
  • The interaction between gravitational and electromagnetic waves in the presence of a static magnetic field is studied. The field strength of the static field is allowed to surpass the Schwinger critical field, such that the QED effects of vacuum polarization and magnetization are significant. Equations governing the interaction are derived and analyzed. It turns out that the energy conversion from gravitational to electromagnetic waves can be significantly altered due to the QED effects. The consequences of our results are discussed.