Scalar heat kernel with boundary in the worldline formalism

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dc.creatorBastianelli, Fiorenzo
dc.creatorCorradini, Olindo
dc.creatorPisani, Pablo A. G.
dc.creatorSchubert, Christian
dc.date2008-09-03
dc.date2008-10-27
dc.date.accessioned2026-07-07T11:45:44Z
dc.date.available2026-07-07T11:45:44Z
dc.descriptionThe 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 R_+ x R^{D-1}, based on an extension of the associated worldline path integral to the full R^D 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, a_4 and a_{9/2}.
dc.description1+21 pages; references added, published version
dc.identifierhttps://arxiv.org/abs/0809.0652
dc.identifierhttp://arxiv.org/abs/0809.0652
dc.identifierJHEP0810:095,2008
dc.identifierdoi:10.1088/1126-6708/2008/10/095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201982
dc.subjectHigh Energy Physics - Theory
dc.titleScalar heat kernel with boundary in the worldline formalism
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