Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime

Details Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime

2006-05-23

arxiv.org/abs/hep-th/0605231v1

Phys.Rev. D74 (2006) 025017

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 5 figures

Scientific paper

10.1103/PhysRevD.74.025017

In this paper we investigate the Wightman function, the renormalized vacuum expectation values of the field square, and the energy-momentum tensor for a massive scalar field with general curvature coupling inside and outside of a cylindrical shell in the generalized spacetime of straight cosmic string. For the general case of Robin boundary condition, by using the generalized Abel-Plana formula, the vacuum expectation values are presented in the form of the sum of boundary-free and boundary-induced parts. The asymptotic behavior of the vacuum expectation values of the field square, energy density and stresses are investigated in various limiting cases. The generalization of the results to the exterior region is given for a general cylindrically symmetric static model of the string core with finite support.

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