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ID: 372105.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Scalar heat kernel with boundary in the worldline formalism
Authors:Bastianelli, Fiorenzo; Corradini, Olindo; Pisani, Pablo A. G.; Schubert, Christian
Date of Publication (YYYY-MM-DD):2008-10
Title of Journal:Journal of High Energy Physics
Issue / Number:10
Sequence Number of Article:095
Review Status:not specified
Audience:Not Specified
Abstract / Description:The worldline formalism has in recent years emerged as a powerful tool for the computation of effective actions and heat kernels. However, implementing nontrivial boundary conditions in this formalism has turned out to be a difficult problem. Recently, such a generalization was developed for the case of a scalar field on the half-space Bbb R+ × Bbb RD−1, based on an extension of the associated worldline path integral to the full Bbb RD using image charges. We present here an improved version of this formalism which allows us to write down non-recursive master formulas for the n-point contribution to the heat kernel trace of a scalar field on the half-space with Dirichlet or Neumann boundary conditions. These master formulas are suitable to computerization. We demonstrate the efficiency of the formalism by a calculation of two new heat-kernel coefficients for the half-space, a4 and a9/2.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0809.0652v1 [hep-th]
URL:http://arxiv.org/abs/0809.0652
ISSN:1029-8479
DOI:10.1088/1126-6708/2008/10/095
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