Scalar heat kernel with boundary in the worldline formalism

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 cas...

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Detalles Bibliográficos
Autores principales:	Bastianelli, Fiorenzo, Corradini, Olindo, González Pisani, Pablo Andrés, Schubert, Christian
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2008
Materias:	Ciencias Exactas Física Field theories in higher dimensions Field theories in lower dimensions Sigma models
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/84238
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-84238
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Física Field theories in higher dimensions Field theories in lower dimensions Sigma models
spellingShingle	Ciencias Exactas Física Field theories in higher dimensions Field theories in lower dimensions Sigma models Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés Schubert, Christian Scalar heat kernel with boundary in the worldline formalism
topic_facet	Ciencias Exactas Física Field theories in higher dimensions Field theories in lower dimensions Sigma models
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 ℝ<SUB>+</SUB> × ℝ<SUP>D-1</SUP>, based on an extension of the associated worldline path integral to the full ℝ<SUP>D</SUP> 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<SUB>4</SUB> and a<SUB>9/2</SUB>.
format	Articulo Articulo
author	Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés Schubert, Christian
author_facet	Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés Schubert, Christian
author_sort	Bastianelli, Fiorenzo
title	Scalar heat kernel with boundary in the worldline formalism
title_short	Scalar heat kernel with boundary in the worldline formalism
title_full	Scalar heat kernel with boundary in the worldline formalism
title_fullStr	Scalar heat kernel with boundary in the worldline formalism
title_full_unstemmed	Scalar heat kernel with boundary in the worldline formalism
title_sort	scalar heat kernel with boundary in the worldline formalism
publishDate	2008
url	http://sedici.unlp.edu.ar/handle/10915/84238
work_keys_str_mv	AT bastianellifiorenzo scalarheatkernelwithboundaryintheworldlineformalism AT corradiniolindo scalarheatkernelwithboundaryintheworldlineformalism AT gonzalezpisanipabloandres scalarheatkernelwithboundaryintheworldlineformalism AT schubertchristian scalarheatkernelwithboundaryintheworldlineformalism
bdutipo_str	Repositorios
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Scalar heat kernel with boundary in the worldline formalism

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