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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15507998_v89_n2_p_LopezNacir |
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todo:paper_15507998_v89_n2_p_LopezNacir2023-10-03T16:24:56Z Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v89_n2_p_LopezNacir |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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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. |
| format |
JOUR |
| author |
López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. |
| spellingShingle |
López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime |
| author_facet |
López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. |
| author_sort |
López Nacir, D.L. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_15507998_v89_n2_p_LopezNacir |
| work_keys_str_mv |
AT lopeznacirdl hartreeapproximationincurvedspacetimesrevisitedtheeffectivepotentialindesitterspacetime AT mazzitellifd hartreeapproximationincurvedspacetimesrevisitedtheeffectivepotentialindesitterspacetime AT trombettalg hartreeapproximationincurvedspacetimesrevisitedtheeffectivepotentialindesitterspacetime |
| _version_ |
1782025937201659904 |