Running of Newton's constant and noninteger powers of the d'Alembertian

The running of Newton's constant can be taken into account by considering covariant, nonlocal generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as (-□)-α, with α a noninteger number, and ln [-□]. In this...

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Autores principales: López Nacir, D., Mazzitelli, F.D.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15507998_v75_n2_p_LopezNacir
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_15507998_v75_n2_p_LopezNacir2023-10-03T16:24:02Z Running of Newton's constant and noninteger powers of the d'Alembertian López Nacir, D. Mazzitelli, F.D. The running of Newton's constant can be taken into account by considering covariant, nonlocal generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as (-□)-α, with α a noninteger number, and ln [-□]. In this paper we define these nonlocal operators in terms of the usual two point function of a massive field. We analyze some of their properties, and present specific calculations in flat and Robertson Walker spacetimes. © 2007 The American Physical Society. 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_15507998_v75_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 The running of Newton's constant can be taken into account by considering covariant, nonlocal generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as (-□)-α, with α a noninteger number, and ln [-□]. In this paper we define these nonlocal operators in terms of the usual two point function of a massive field. We analyze some of their properties, and present specific calculations in flat and Robertson Walker spacetimes. © 2007 The American Physical Society.
format JOUR
author López Nacir, D.
Mazzitelli, F.D.
spellingShingle López Nacir, D.
Mazzitelli, F.D.
Running of Newton's constant and noninteger powers of the d'Alembertian
author_facet López Nacir, D.
Mazzitelli, F.D.
author_sort López Nacir, D.
title Running of Newton's constant and noninteger powers of the d'Alembertian
title_short Running of Newton's constant and noninteger powers of the d'Alembertian
title_full Running of Newton's constant and noninteger powers of the d'Alembertian
title_fullStr Running of Newton's constant and noninteger powers of the d'Alembertian
title_full_unstemmed Running of Newton's constant and noninteger powers of the d'Alembertian
title_sort running of newton's constant and noninteger powers of the d'alembertian
url http://hdl.handle.net/20.500.12110/paper_15507998_v75_n2_p_LopezNacir
work_keys_str_mv AT lopeznacird runningofnewtonsconstantandnonintegerpowersofthedalembertian
AT mazzitellifd runningofnewtonsconstantandnonintegerpowersofthedalembertian
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