Fermionic vacuum polarization in higher-dimensional global monopole spacetime

Abstract

In this paper we analyse the vacuum polarization effects associated with a massless fermionic field in a higher-dimensional global monopole spacetime in the "braneworld" scenario. In this context we admit that the our Universe, the bulk, is represented by a flat $(n-1)-$dimensional brane having a global monopole in a extra transverse three dimensional submanifold. We explicitly calculate the renormalized vacuum average of the energy-momentum tensor, $<T_A^B(x){>}_{Ren.}$, admitting the global monopole as being a point-like object. We observe that this quantity depends crucially on the value of $n$, and we provide explicit expressions to it for specific values attributed to $n$.

21 pages, 3 figures

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• Scalar self-energy for a charged particle in global monopole spacetime with a spherical boundary
• Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
• Vacuum polarization and classical self-action near higher-dimensional defects
• Induced self-energy on a static scalar charged particle in the spacetime of a global monopole with finite core
• Vacuum polarisation of Dirac fermions in the cosmological de Sitter-global monopole spacetime