Polarization of the fermionic vacuum by a global monopole with finite core

Abstract

We study the vacuum polarization effects associated with a massive fermionic field in a spacetime produced by a global monopole considering a nontrivial inner structure for it. In the general case of the spherically symmetric static core with finite support we evaluate the vacuum expectation values of the energy-momentum tensor and the fermionic condensate in the region outside the core. These quantities are presented as the sum of point-like global monopole and core-induced contributions. The asymptotic behavior of the core-induced vacuum densities are investigated at large distances from the core, near the core and for small values of the solid angle corresponding to strong gravitational fields. As an application of general results the flower-pot model for the monopole's core is considered and the expectation values inside the core are evaluated.

arXiv comment22 pages, 4 figures

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• Wightman function and vacuum densities for a Z_2-symmetric thick brane in AdS spacetime
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• Massive Jackiw-Rebbi Model
• Induced self-energy on a static scalar charged particle in the spacetime of a global monopole with finite core
• Fermionic vacuum polarization in higher-dimensional global monopole spacetime
• The Casimir densities for a sphere in the Milne universe
• Casimir effect in hemisphere capped tubes
• Induced electrostatic self-interaction in the spacetime of a global monopole with inner structure
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• Vacuum densities for a thick brane in AdS spacetime
• Vacuum polarization by topological defects in de Sitter spacetime
• Vacuum Polarization and Casimir Energy of a Dirac Field Induced by a Scalar Potential in One Spatial Dimension