Vacuum bosonic currents induced by a compactified cosmic string in dS background

Abstract

In this paper, we investigate the vacuum bosonic currents in the geometry of a compactified cosmic string in the background of the de Sitter spacetime. The currents are induced by magnetic fluxes, one running along the cosmic string and another one enclosed by the compact dimension. In order to develop this analysis, we obtain the complete set of normalized bosonic wave-functions obeying a quasiperiodicity condition. In this context, we calculate the azimuthal and axial current densities. Due to the quasiperiodicity condition, the quantum number associated with the compactification of the string along its axis becomes discrete, and we use the Abel-Plana summation formula to evaluate the non-vanishing current densities. We show that these quantities are explicitly decomposed into two contributions: one corresponds to the geometry of a straight uncompactified cosmic string and the other is induced by the compactification. We also compare the results with the literature in the case of a massive fermionic field in the same geometry.

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References in corpus (11)

• Induced fermionic current in toroidally compactified spacetimes with applications to cylindrical and toroidal nanotubes
• 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
• Vacuum Expectation Value of the Spinor Massive field in the Cosmic String Space-Time
• Induced vacuum bosonic current by magnetic flux in a higher dimensional compactified cosmic string spacetime
• Vacuum Polarization on the Schwarzschild Metric with a Cosmic String
• Renormalized Vacuum Polarization and Stress Tensor on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String
• Induced fermionic current by a magnetic tube in the cosmic spacetime
• 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
• Induced Fermionic vacuum polarization in dS spacetime with a compactified cosmic string

Cited by in corpus (3)

• Finite temperature fermionic charge and current densities in conical space with a circular edge
• Current density induced by a cosmic string in de Sitter spacetime in the presence of two flat boundaries
• Electromagnetic vacuum stresses and energy fluxes induced by a cosmic string in de Sitter spacetime