Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time

• Published in: arXiv.org 2008-06
• Main Authors: E R Bezerra de Mello, Saharian, A A
• Format: Article
• Language: English
• Subjects: Conical bodies; Defects; Gravitational fields; Green's functions; Magnetic flux; Mathematical analysis; Momentum; Monopoles; Polarization; Relativity; Spacetime; Tensors; Topology
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.0806.1944

We investigate the vacuum polarization effects associated with a charged massless spin-1/2 field in a higher-dimensional space-time, induced by a composite topological defect. The defect is constituted by a global monopole living on a three-brane and two-dimensional conical space transverse to the latter. In addition, we assume the presence of an extra magnetic flux along the core of the conical space. The heat kernel and the Feynman Green function are presented in the form of a sum of two terms. The first one corresponds to the contribution coming from the bulk with global monopole in the absence of conical structure of the orthogonal two-space, and the second one is induced by this structure and the magnetic flux. We explicitly evaluate the part in the vacuum expectation value of the energy-momentum tensor induced by the flux carrying conical structure. As in pure cosmic string geometries, only the fractional part of the ratio of the magnetic flux to flux quantum leads to non-trivial effects. The vacuum energy-momentum tensor is an even function of this parameter. We show that for strong gravitational fields corresponding to large values of the solid angle deficit, the effects induced by the conical structure and flux are exponentially suppressed.