Heat kernel and scaling of gravitational constants
We consider the nonlocal energy-momentum tensor of quantum scalar and spinor fields in 2w-dimensional curved spaces. Working to lowest order in the curvature we show that, while the nonlocal terms proportional to □scrR, □ □ scrR,...,□w-2scrR are fully determined by the early-time behavior of the hea...
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todo:paper_05562821_v52_n4_p2577_Dalvit2023-10-03T15:35:33Z Heat kernel and scaling of gravitational constants Dalvit, D.A.R. Mazzitelli, F.D. We consider the nonlocal energy-momentum tensor of quantum scalar and spinor fields in 2w-dimensional curved spaces. Working to lowest order in the curvature we show that, while the nonlocal terms proportional to □scrR, □ □ scrR,...,□w-2scrR are fully determined by the early-time behavior of the heat kernel, the terms proportional to scrR depend on the asymptotic late-time behavior. This fact explaines a discrepancy between the running of the Newton constant dictated by the RG equations and the quantum corrections to the Newtonian potential. © 1995 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_05562821_v52_n4_p2577_Dalvit |
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Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We consider the nonlocal energy-momentum tensor of quantum scalar and spinor fields in 2w-dimensional curved spaces. Working to lowest order in the curvature we show that, while the nonlocal terms proportional to □scrR, □ □ scrR,...,□w-2scrR are fully determined by the early-time behavior of the heat kernel, the terms proportional to scrR depend on the asymptotic late-time behavior. This fact explaines a discrepancy between the running of the Newton constant dictated by the RG equations and the quantum corrections to the Newtonian potential. © 1995 The American Physical Society. |
format |
JOUR |
author |
Dalvit, D.A.R. Mazzitelli, F.D. |
spellingShingle |
Dalvit, D.A.R. Mazzitelli, F.D. Heat kernel and scaling of gravitational constants |
author_facet |
Dalvit, D.A.R. Mazzitelli, F.D. |
author_sort |
Dalvit, D.A.R. |
title |
Heat kernel and scaling of gravitational constants |
title_short |
Heat kernel and scaling of gravitational constants |
title_full |
Heat kernel and scaling of gravitational constants |
title_fullStr |
Heat kernel and scaling of gravitational constants |
title_full_unstemmed |
Heat kernel and scaling of gravitational constants |
title_sort |
heat kernel and scaling of gravitational constants |
url |
http://hdl.handle.net/20.500.12110/paper_05562821_v52_n4_p2577_Dalvit |
work_keys_str_mv |
AT dalvitdar heatkernelandscalingofgravitationalconstants AT mazzitellifd heatkernelandscalingofgravitationalconstants |
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1782029693789143040 |