Renormalized scalar propagator around a dispiration

Abstract

The renormalized Feynman propagator for a scalar field in the background of a cosmic dispiration (a disclination plus a screw dislocation) is derived, opening a window to investigate vacuum polarization effects around a cosmic string with dislocation, as well as in the bulk of an elastic solid carrying a dispiration. The use of the propagator is illustrated by computing vacuum fluctuations. In particular it is shown that the dispiration polarizes the vacuum giving rise to an energy momentum tensor which, as seen from a local inertial frame, presents non vanishing off-diagonal components. Such a new effect resembles that where an induced vacuum current arises around a needle solenoid carrying a magnetic flux (the Aharonov-Bohm effect), and may have physical consequences. Connections with a closely related background, namely the spacetime of a spinning cosmic string, are briefly addressed.

7 pages, 5 figures. This revised version (to appear in the journal) includes evaluation of the energy momentum tensor

References in corpus (5)

• New Developments in the Casimir Effect
• Quantum aspects of self-interacting fields around cosmic strings
• Classical self-forces in a space with a dispiration
• Remarks on vacuum fluctuations around a spinning cosmic string
• Vacuum polarization on the spinning circle

Cited by in corpus (8)

• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Geometric theory of topological defects: methodological developments and new trends
• Spinning strings, cosmic dislocations and chronology protection
• Semiclassical backreaction around a nearly spinning cosmic string
• Semiclassical back reaction around a cosmic dislocation
• Number-conserving solution for dynamical quantum backreaction in a Bose-Einstein condensate
• Vacuum energy, temperature corrections and heat kernel coefficients in $(D+1)$-dimensional spacetimes with nontrivial topology