Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime

It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although irrelevant for the computation of Casimir forces between different bodies, the self-energy couples to gravity, and the divergences may, in principl...

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Autor principal: Mazzitelli, Francisco Diego
Publicado: 2011
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v84_n12_p_Mazzitelli
http://hdl.handle.net/20.500.12110/paper_15507998_v84_n12_p_Mazzitelli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_15507998_v84_n12_p_Mazzitelli2023-06-08T16:22:21Z Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime Mazzitelli, Francisco Diego It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although irrelevant for the computation of Casimir forces between different bodies, the self-energy couples to gravity, and the divergences may, in principle, generate large gravitational effects. We present an analysis of the problem in the context of quantum field theory in curved spaces. Our model consists of a quantum scalar field coupled to a classical field that, in a certain limit, imposes Dirichlet boundary conditions on the quantum field. We show that the model is renormalizable and that the divergences in the renormalized energy-momentum tensor disappear for sufficiently smooth interfaces. © 2011 American Physical Society. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v84_n12_p_Mazzitelli http://hdl.handle.net/20.500.12110/paper_15507998_v84_n12_p_Mazzitelli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although irrelevant for the computation of Casimir forces between different bodies, the self-energy couples to gravity, and the divergences may, in principle, generate large gravitational effects. We present an analysis of the problem in the context of quantum field theory in curved spaces. Our model consists of a quantum scalar field coupled to a classical field that, in a certain limit, imposes Dirichlet boundary conditions on the quantum field. We show that the model is renormalizable and that the divergences in the renormalized energy-momentum tensor disappear for sufficiently smooth interfaces. © 2011 American Physical Society.
author Mazzitelli, Francisco Diego
spellingShingle Mazzitelli, Francisco Diego
Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime
author_facet Mazzitelli, Francisco Diego
author_sort Mazzitelli, Francisco Diego
title Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime
title_short Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime
title_full Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime
title_fullStr Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime
title_full_unstemmed Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime
title_sort boundary divergences in vacuum self-energies and quantum field theory in curved spacetime
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v84_n12_p_Mazzitelli
http://hdl.handle.net/20.500.12110/paper_15507998_v84_n12_p_Mazzitelli
work_keys_str_mv AT mazzitellifranciscodiego boundarydivergencesinvacuumselfenergiesandquantumfieldtheoryincurvedspacetime
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