Vacuum Polarization of a Charged Massless Fermionic Field by a Magnetic Flux in the Cosmic String Spacetime

Abstract

We calculate the vacuum averages of the energy-momentum tensor associated with a massless left-handed spinor fields due to magnetic fluxes on idealized cosmic string spacetime. In this analysis three distinct configurations of magnetic fields are considered: {\it{i)}} a homogeneous field inside the tube, {\it{ii)}} a magnetic field proportional to $1/r$ and {\it{iii)}} a cylindrical shell with $\delta$-function. In these three cases the axis of the infinitely long tubes of radius $R$ coincides with the cosmic string. In order to proceed with these calculations we explicitly obtain the Euclidean Feynman propagators associated with these physical systems. As we shall see, these propagators possess two distinct parts. The first are the standard ones, i.e., corresponding to the spinor Green functions associated with the massless fermionic fields on the idealized cosmic string spacetime with a magnetic flux running through the line singularity. The second parts are new, they are due to the finite thickness of the radius of the tubes. As we shall see these extra parts provide relevant contributions to the vacuum averages of the energy-momentum tensor.

arXiv comment25 pages, 5 figures

References in corpus (4)

• Origin and Propagation of Extremely High Energy Cosmic Rays
• Gravitational wave bursts from cosmic strings
• Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string
• Euclidean spinor Green's functions in the spacetime of a straight cosmic string

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• Fermionic current induced by magnetic flux in compactified cosmic string spacetime
• Fermionic vacuum polarization in compactified cosmic string spacetime
• Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime
• Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
• Induced fermionic current by a magnetic tube in the cosmic spacetime
• Light-Cone Fluctuations in the Cosmic String Spacetime
• Finite temperature fermionic charge and current densities induced by a cosmic string with magnetic flux
• Induced fermionic currents in de Sitter spacetime in the presence of a compactified cosmic string
• Fermionic vacuum polarization by a magnetic tube in the cosmic string spacetime
• Vacuum expectation value of the energy-momentum tensor in a higher dimensional compactified cosmic string spacetime
• Finite temperature fermion condensate, charge and current densities in a (2+1)-dimensional conical space
• Induced Fermionic vacuum polarization in dS spacetime with a compactified cosmic string
• Vacuum bosonic currents induced by a compactified cosmic string in dS background
• Azimuthal fermionic current in the cosmic string spacetime induced by a magnetic tube
• Induced vacuum bosonic current in a compactified cosmic string spacetime
• Vacuum Polarization by a Magnetic Flux Tube at Finite Temperature in the Cosmic String Spacetime