Massive scalar field near a cosmic string

Abstract

The $\zeta$ function of a massive scalar field near a cosmic string is computed and then employed to find the vacuum fluctuation of the field. The vacuum expectation value of the energy-momentum tensor is also computed using a point-splitting approach. The obtained results could be useful also for the case of self-interacting scalar fields and for the finite-temperature Rindler space theory.

15 pages, standard LaTeX, no figures. Reference [14] corrected

References in corpus (3)

• Quantum aspects of self-interacting fields around cosmic strings
• Optical Approach for the Thermal Partition Function of Photons
• Semiclassical Effects Induced by Aharonov-Bohm Interaction Between a Cosmic String and a Scalar Field

Cited by in corpus (26)

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• Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime
• Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
• Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
• Vacuum Expectation Value of the Spinor Massive field in the Cosmic String Space-Time
• Direct $\zeta$-function approach and renormalization of one-loop stress tensors in curved spacetimes
• Fermionic current induced by magnetic flux in compactified cosmic string spacetime
• Fermionic vacuum polarization in compactified cosmic string spacetime
• Topological Casimir effect in compactified cosmic string spacetime
• Unruh effect universality: emergent conical geometry from density operator
• Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux
• zeta-function regularization and one-loop renormalization of field fluctuations in curved space-times
• Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
• Correlation functions on conical defects
• Fermionic vacuum polarization by a cosmic string in de Sitter spacetime
• Induced fermionic currents in de Sitter spacetime in the presence of a compactified cosmic string
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Fermionic vacuum polarization by a magnetic tube in the cosmic string spacetime
• Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
• Induced vacuum energy-momentum tensor in the background of a cosmic string
• Scalar Casimir densities and forces for parallel plates in cosmic string spacetime
• Thermal fluctuations of a quantized massive scalar field in Rindler background
• Ambiguity in the evaluation of the effective action on the cone
• Aspects and applications of quantum field theory on spaces with conical singularities
• Polarization of the vacuum of quantized spinor field by a topological defect in two-dimensional space
• Fermionic vacuum polarization induced by a non-Abelian vortex