Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime

We consider a quantum scalar field with a λφ4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the two-particle irreducible effective action. Although this approximation has been considered in many previous works, we re...

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Autores principales: López Nacir, Diana Laura, Mazzitelli, Francisco Diego
Publicado: 2014
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v89_n2_p_LopezNacir
http://hdl.handle.net/20.500.12110/paper_15507998_v89_n2_p_LopezNacir
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v89_n2_p_LopezNacir
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spelling paper:paper_15507998_v89_n2_p_LopezNacir2023-06-08T16:22:43Z Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime López Nacir, Diana Laura Mazzitelli, Francisco Diego We consider a quantum scalar field with a λφ4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the two-particle irreducible effective action. Although this approximation has been considered in many previous works, we reconsider it using a consistent nonperturbative renormalization procedure, which we extend to general curved spacetimes. We obtain the renormalized equations for the mean field and for the propagator of the fluctuations, showing explicitly their independence on the arbitrary scale introduced by the regularization scheme. We apply our results to the particular case of de Sitter spacetime and discuss spontaneous symmetry breaking. The results depend strongly on the renormalization procedure. © 2014 American Physical Society. Fil:López Nacir, D.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v89_n2_p_LopezNacir http://hdl.handle.net/20.500.12110/paper_15507998_v89_n2_p_LopezNacir
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We consider a quantum scalar field with a λφ4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the two-particle irreducible effective action. Although this approximation has been considered in many previous works, we reconsider it using a consistent nonperturbative renormalization procedure, which we extend to general curved spacetimes. We obtain the renormalized equations for the mean field and for the propagator of the fluctuations, showing explicitly their independence on the arbitrary scale introduced by the regularization scheme. We apply our results to the particular case of de Sitter spacetime and discuss spontaneous symmetry breaking. The results depend strongly on the renormalization procedure. © 2014 American Physical Society.
author López Nacir, Diana Laura
Mazzitelli, Francisco Diego
spellingShingle López Nacir, Diana Laura
Mazzitelli, Francisco Diego
Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime
author_facet López Nacir, Diana Laura
Mazzitelli, Francisco Diego
author_sort López Nacir, Diana Laura
title Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime
title_short Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime
title_full Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime
title_fullStr Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime
title_full_unstemmed Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime
title_sort hartree approximation in curved spacetimes revisited: the effective potential in de sitter spacetime
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v89_n2_p_LopezNacir
http://hdl.handle.net/20.500.12110/paper_15507998_v89_n2_p_LopezNacir
work_keys_str_mv AT lopeznacirdianalaura hartreeapproximationincurvedspacetimesrevisitedtheeffectivepotentialindesitterspacetime
AT mazzitellifranciscodiego hartreeapproximationincurvedspacetimesrevisitedtheeffectivepotentialindesitterspacetime
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