Worldline formalism for a confined scalar field

The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes correspond to the heat-kernel of the operator...

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Detalles Bibliográficos
Autores principales:	Corradini, Olindo, Edwards, James P., Huet, Idrish, Manzo, Lucas, González Pisani, Pablo Andrés
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2019
Materias:	Ciencias Exactas Física Field Theories in Higher Dimensions Spacetime Singularities Differential and Algebraic Geometry
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/123514
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-123514
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 Spacetime Singularities Differential and Algebraic Geometry
spellingShingle	Ciencias Exactas Física Field Theories in Higher Dimensions Spacetime Singularities Differential and Algebraic Geometry Corradini, Olindo Edwards, James P. Huet, Idrish Manzo, Lucas González Pisani, Pablo Andrés Worldline formalism for a confined scalar field
topic_facet	Ciencias Exactas Física Field Theories in Higher Dimensions Spacetime Singularities Differential and Algebraic Geometry
description	The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes correspond to the heat-kernel of the operator of quantum fluctuations of the field theory. However, to study a quantum field which is confined within some boundaries one needs to restrict the path integration domain of the auxiliary point-particle to a specific subset of worldlines enclosed by those boundaries. We show how to implement this restriction for the case of a scalar field confined to the D-dimensional ball under Dirichlet and Neumann boundary conditions, and compute the first few heat-kernel coefficients as a verification of our construction. We argue that this approach could admit different generalizations.
format	Articulo Articulo
author	Corradini, Olindo Edwards, James P. Huet, Idrish Manzo, Lucas González Pisani, Pablo Andrés
author_facet	Corradini, Olindo Edwards, James P. Huet, Idrish Manzo, Lucas González Pisani, Pablo Andrés
author_sort	Corradini, Olindo
title	Worldline formalism for a confined scalar field
title_short	Worldline formalism for a confined scalar field
title_full	Worldline formalism for a confined scalar field
title_fullStr	Worldline formalism for a confined scalar field
title_full_unstemmed	Worldline formalism for a confined scalar field
title_sort	worldline formalism for a confined scalar field
publishDate	2019
url	http://sedici.unlp.edu.ar/handle/10915/123514
work_keys_str_mv	AT corradiniolindo worldlineformalismforaconfinedscalarfield AT edwardsjamesp worldlineformalismforaconfinedscalarfield AT huetidrish worldlineformalismforaconfinedscalarfield AT manzolucas worldlineformalismforaconfinedscalarfield AT gonzalezpisanipabloandres worldlineformalismforaconfinedscalarfield
bdutipo_str	Repositorios
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Worldline formalism for a confined scalar field

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