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ζ-function regularization of the effective action for a δ-function potential

Lookup NU author(s): Professor David Toms

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Abstract

We present an exact evaluation of the generalized ζ-function for a real scalar field in a δ-function potential in the spacetime S 1×RD-1. The result for the ζ-function is used to obtain the effective action. As a byproduct of the calculation the heat-kernel coefficients are obtained to all orders in a closed form. The regularized zero-point energy is found and we discuss the renormalization of the effective action. © 2005 Elsevier B.V. All rights reserved.

Publication metadata

Author(s): Toms DJ

Publication type: Article

Publication status: Published

Journal: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Year: 2006

Volume: 632

Issue: 2-3

Pages: 422-426

ISSN (print): 0370-2693

ISSN (electronic): 1873-2445

Publisher: Elsevier BV

URL: http://dx.doi.org/10.1016/j.physletb.2005.10.031

DOI: 10.1016/j.physletb.2005.10.031

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