Worldline approach to quantum field theories on flat manifolds with boundaries

We study a worldline approach to quantum field theories on flat manifolds with boundaries. We consider the concrete case of a scalar field propagating on + × D-1 which leads us to study the associated heat kernel through a one dimensional (worldline) path integral. To calculate the latter we map it...

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Detalles Bibliográficos
Autores principales:	Bastianelli, Fiorenzo, Corradini, Olindo, González Pisani, Pablo Andrés
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2007
Materias:	Física Ciencias Exactas Field theories in higher dimensions Field theories in lower dimensions Sigma models
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/83127
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-83127
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Ciencias Exactas Field theories in higher dimensions Field theories in lower dimensions Sigma models
spellingShingle	Física Ciencias Exactas Field theories in higher dimensions Field theories in lower dimensions Sigma models Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés Worldline approach to quantum field theories on flat manifolds with boundaries
topic_facet	Física Ciencias Exactas Field theories in higher dimensions Field theories in lower dimensions Sigma models
description	We study a worldline approach to quantum field theories on flat manifolds with boundaries. We consider the concrete case of a scalar field propagating on + × D-1 which leads us to study the associated heat kernel through a one dimensional (worldline) path integral. To calculate the latter we map it onto an auxiliary path integral on the full D using an image charge. The main technical difficulty lies in the fact that a smooth potential on + × D-1 extends to a potential which generically fails to be smooth on D. This implies that standard perturbative methods fail and must be improved. We propose a method to deal with this situation. As a result we recover the known heat kernel coefficients on a flat manifold with geodesic boundary, and compute two additional ones, A 3 and A7/2. The calculation becomes sensibly harder as the perturbative order increases, and we are able to identify the complete A 7/2 with the help of a suitable toy model. Our findings show that the worldline approach is viable on manifolds with boundaries. Certainly, it would be desirable to improve our method of implementing the worldline approach to further simplify the perturbative calculations that arise in the presence of non-smooth potentials.
format	Articulo Articulo
author	Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés
author_facet	Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés
author_sort	Bastianelli, Fiorenzo
title	Worldline approach to quantum field theories on flat manifolds with boundaries
title_short	Worldline approach to quantum field theories on flat manifolds with boundaries
title_full	Worldline approach to quantum field theories on flat manifolds with boundaries
title_fullStr	Worldline approach to quantum field theories on flat manifolds with boundaries
title_full_unstemmed	Worldline approach to quantum field theories on flat manifolds with boundaries
title_sort	worldline approach to quantum field theories on flat manifolds with boundaries
publishDate	2007
url	http://sedici.unlp.edu.ar/handle/10915/83127
work_keys_str_mv	AT bastianellifiorenzo worldlineapproachtoquantumfieldtheoriesonflatmanifoldswithboundaries AT corradiniolindo worldlineapproachtoquantumfieldtheoriesonflatmanifoldswithboundaries AT gonzalezpisanipabloandres worldlineapproachtoquantumfieldtheoriesonflatmanifoldswithboundaries
bdutipo_str	Repositorios
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Worldline approach to quantum field theories on flat manifolds with boundaries

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