Spinor Green function in higher-dimensional cosmic string space-time in the presence of magnetic flux

Abstract

In this paper we investigate the vacuum polarization effects associated with quantum fermionic charged fields in a generalized $(d+1)-$dimensional cosmic string space-times considering the presence of a magnetic flux along the string. In order to develop this analysis we calculate a general expression for the respective Green function, valid for several different values of $d$, which is expressed in terms of a bispinor associated with the square of the Dirac operator. Adopting this result, we explicitly calculate the renormalized vacuum expectation values of the energy-momentum tensors, $<T_B^A{>}_{Ren.}$, associated with massless fields. Moreover, for specific values of the parameters which codify the cosmic string and the fractional part of the ratio of the magnetic flux by the quantum one, we were able to present in closed forms the bispinor and the respective Green function for massive fields.

27 pages, 6 figures. This version accepted for publication in JHEP contains a minor modification and two new references

References in corpus (9)

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Cited by in corpus (27)

• Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
• Vacuum currents induced by a magnetic flux around a cosmic string with finite core
• Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
• Induced vacuum bosonic current by magnetic flux in a higher dimensional compactified cosmic string spacetime
• Fermionic current induced by magnetic flux in compactified cosmic string spacetime
• Topological Casimir effect in compactified cosmic string spacetime
• Fermionic vacuum polarization in compactified cosmic string spacetime
• Vacuum polarization by a cosmic string in de Sitter 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
• Vacuum polarization by a flat boundary in cosmic string spacetime
• Vacuum polarization and classical self-action near higher-dimensional defects
• Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
• Induced fermionic current by a magnetic tube in the cosmic spacetime
• Fermionic vacuum polarization by a cosmic string in de Sitter spacetime
• Light-Cone Fluctuations in the Cosmic String Spacetime
• Vacuum expectation value of the energy-momentum tensor in a higher dimensional compactified cosmic string spacetime
• Fermionic vacuum polarization by a magnetic tube in the cosmic string spacetime
• Vacuum polarization by fermionic fields in higher dimensional cosmic string space-time
• Scalar Casimir densities and forces for parallel plates in cosmic string spacetime
• Semiclassical backreaction around a nearly spinning 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
• Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string
• Induced vacuum bosonic current in a compactified cosmic string spacetime
• 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