Note on the point-splitting procedure to evaluate vacuum fluctuation in certain cylindrically symmetric backgrounds

I. Brevik; G. E. A. Matsas; E. S. Moreira, Jr

doi:10.1103/PhysRevD.58.027502

Note on the point-splitting procedure to evaluate vacuum fluctuation in certain cylindrically symmetric backgrounds

I. Brevik, G. E. A. Matsas, and E. S. Moreira, Jr.

Phys. Rev. D 58, 027502 – Published 23 June 1998

Abstract

We reexamine the two-point function approaches used to study vacuum fluctuation in wedge-shaped regions and conical backgrounds. The appearance of divergent integrals is discussed and circumvented. The issue is considered in the context of a massless scalar field in cosmic string spacetime.

Received 26 March 1998

DOI:https://doi.org/10.1103/PhysRevD.58.027502

Authors & Affiliations

I. Brevik^*

Department of Applied Mechanics, Norwegian University of Science and Technology, N-7034 Trondheim, Norway

G. E. A. Matsas^† and E. S. Moreira, Jr.^‡

Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, São Paulo, Brazil

^*Email address: Iver.H.Brevik@mtf.ntnu.no
^†Email address: matsas@axp.ift.unesp.br
^‡Email address: moreira@axp.ift.unesp.br

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Vol. 58, Iss. 2 — 15 July 1998

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Physical Review D

covering particles, fields, gravitation, and cosmology