Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime

Abstract

In this paper we analyse the vacuum fluctuations of quantum fermionic current densities, $<j^A(x)>$, induced by a magnetic flux running along the core of the conical space produced by the presence of cosmic string, in a $(1+d)-$dimensional bulk, for $2\le d\le 5$. In order to develop this investigation we construct an expression for the fermionic propagator, which can be applied for those different dimensions of the spacetime. Two specific analysis for the induced current densities are presented: $(i)$ for massless fields in three and four dimensions, and $(ii)$ for massive fields in all dimensions considered. In the latter specific values for the parameters which codify the presence of the cosmic string and the fractional part of the ratio of the magnetic flux by the quantum one are considered. Although being a very special situation and somewhat unnatural, the corresponding analysis of induced fermionic current densities under this circumstance may shed light on the qualitative behavior of these quantities in a more general situation.

26 pages, 2 figure. Paper accepted for publication in Classical and Quantum Gravity

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• Flux Compactification
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• Vacuum currents induced by a magnetic flux around a cosmic string with finite core
• Induced vacuum bosonic current by magnetic flux in a higher dimensional compactified cosmic string spacetime
• Fermionic condensate in a conical space with a circular boundary and magnetic flux
• Fermionic current induced by magnetic flux in compactified cosmic string spacetime
• Fermionic vacuum polarization in compactified cosmic string spacetime
• Vacuum polarization and classical self-action near higher-dimensional defects
• Induced current in high-dimensional AdS spacetime in the presence of a cosmic string and a compactified extra dimension
• Induced fermionic current by a magnetic tube in the cosmic spacetime
• Light-Cone Fluctuations in the Cosmic String Spacetime
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Induced fermionic current in AdS spacetime in the presence of a cosmic string and a compactified dimension
• Fermionic vacuum polarization by a magnetic tube in the cosmic string spacetime
• Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string
• Induced Fermionic vacuum polarization in dS spacetime with a compactified cosmic string
• Vacuum currents in curved tubes
• 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
• Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension
• Finite temperature fermionic charge and current densities in conical space with a circular edge
• Vacuum currents in elliptic pseudosphere tubes
• Vacuum polarisation of Dirac fermions in the cosmological de Sitter-global monopole spacetime