Renormalization in theories with modified dispersion relations: Weak gravitational fields
We consider a free quantum scalar field satisfying modified dispersion relations in curved spacetimes, within the framework of Einstein-Aether theory. Using a power counting analysis, we study the divergences in the adiabatic expansion of 〈 φ{symbol}2 〉 and 〈 Tμ ν 〉, working in the weak field approx...
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todo:paper_03702693_v672_n3_p294_LopezNacir2023-10-03T15:29:02Z Renormalization in theories with modified dispersion relations: Weak gravitational fields López Nacir, D. Mazzitelli, F.D. We consider a free quantum scalar field satisfying modified dispersion relations in curved spacetimes, within the framework of Einstein-Aether theory. Using a power counting analysis, we study the divergences in the adiabatic expansion of 〈 φ{symbol}2 〉 and 〈 Tμ ν 〉, working in the weak field approximation. We show that for dispersion relations containing up to 2s powers of the spatial momentum, the subtraction necessary to renormalize these two quantities on general backgrounds depends on s in a qualitatively different way: while 〈 φ{symbol}2 〉 becomes convergent for a sufficiently large value of s, the number of divergent terms in the adiabatic expansion of 〈 Tμ ν 〉 increases with s. This property was not apparent in previous results for spatially homogeneous backgrounds. © 2009 Elsevier B.V. All rights reserved. Fil:López Nacir, D. 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_03702693_v672_n3_p294_LopezNacir |
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Universidad de Buenos Aires |
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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 free quantum scalar field satisfying modified dispersion relations in curved spacetimes, within the framework of Einstein-Aether theory. Using a power counting analysis, we study the divergences in the adiabatic expansion of 〈 φ{symbol}2 〉 and 〈 Tμ ν 〉, working in the weak field approximation. We show that for dispersion relations containing up to 2s powers of the spatial momentum, the subtraction necessary to renormalize these two quantities on general backgrounds depends on s in a qualitatively different way: while 〈 φ{symbol}2 〉 becomes convergent for a sufficiently large value of s, the number of divergent terms in the adiabatic expansion of 〈 Tμ ν 〉 increases with s. This property was not apparent in previous results for spatially homogeneous backgrounds. © 2009 Elsevier B.V. All rights reserved. |
| format |
JOUR |
| author |
López Nacir, D. Mazzitelli, F.D. |
| spellingShingle |
López Nacir, D. Mazzitelli, F.D. Renormalization in theories with modified dispersion relations: Weak gravitational fields |
| author_facet |
López Nacir, D. Mazzitelli, F.D. |
| author_sort |
López Nacir, D. |
| title |
Renormalization in theories with modified dispersion relations: Weak gravitational fields |
| title_short |
Renormalization in theories with modified dispersion relations: Weak gravitational fields |
| title_full |
Renormalization in theories with modified dispersion relations: Weak gravitational fields |
| title_fullStr |
Renormalization in theories with modified dispersion relations: Weak gravitational fields |
| title_full_unstemmed |
Renormalization in theories with modified dispersion relations: Weak gravitational fields |
| title_sort |
renormalization in theories with modified dispersion relations: weak gravitational fields |
| url |
http://hdl.handle.net/20.500.12110/paper_03702693_v672_n3_p294_LopezNacir |
| work_keys_str_mv |
AT lopeznacird renormalizationintheorieswithmodifieddispersionrelationsweakgravitationalfields AT mazzitellifd renormalizationintheorieswithmodifieddispersionrelationsweakgravitationalfields |
| _version_ |
1807318329032966144 |