Vacuum polarization by a composite topological defect

Abstract

In this paper we analyze one-loop quantum effects of a scalar field induced by a composite topological defect consisting a cosmic string on a p-dimensional brane and a (m+1)-dimensional global monopole in the transverse extra dimensions. The corresponding Green function is presented as a sum of two terms. The first one corresponds to the bulk where the cosmic string is absent and the second one is induced by the presence of the string. For the points away from the cores of the topological defects the latter is finite in the coincidence limit and is used for the evaluation of the vacuum expectation values of the field square and energy-momentum tensor.

11 pages, 2 figures

References in corpus (25)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Brane-world gravity
• Large and infinite extra dimensions
• Solving the Hierarchy Problem with Noncompact Extra Dimensions
• Nonsingular global string compactifications
• Living Inside a Hedgehog: Higher-dimensional Solutions that Localize Gravity
• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Gravity of higher-dimensional global defects
• Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models
• Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime
• Moduli stabilization in higher dimensional brane models
• Wightman function and vacuum fluctuations in higher dimensional brane models
• Localizing gravity on a 't Hooft-Polyakov monopole in seven dimensions
• Quantum self-consistency of $AdS\times \Sigma$ brane models
• Gravity of superheavy higher-dimensional global defects
• Spinor Casimir densities for a spherical shell in the global monopole spacetime
• Spinor Casimir effect for concentric spherical shells in the global monopole spacetime
• A universe in a global monopole
• Casimir densities for two concentric spherical shells in the global monopole spacetime
• Casimir densities for a spherical shell in the global monopole background
• Inflating magnetically charged braneworlds
• Gravitating global defects: the gravitational field and compactification
• Vacuum Polarization Effects on Flat Branes due to a Global Monopole
• Casimir Densities for a Massive Fermionic Quantum Field in a Global Monopole Background with Spherical Boundary

Cited by in corpus (12)

• Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
• Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
• Spinor Green function in higher-dimensional cosmic string space-time in the presence of magnetic flux
• 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
• Polarization of the fermionic vacuum by a global monopole with finite core
• Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
• Fermionic vacuum polarization by a cosmic string in de Sitter spacetime
• Semiclassical backreaction around a nearly spinning cosmic string
• Vacuum polarization by a scalar field in de Sitter spacetime in the presence of global monopole