A covariant momentum representation for loop corrections in gravity

Abstract A transformation is introduced in momentum representation to keep a covariant description at every stage of a loop computation in gravity. The procedure treats on equal footing local internal and space-time symmetries althought the complete transformation is known for the former [1] whereas...

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Main Author: Rodrigo Alonso
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2020)131
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author Rodrigo Alonso
author_facet Rodrigo Alonso
author_sort Rodrigo Alonso
collection DOAJ
description Abstract A transformation is introduced in momentum representation to keep a covariant description at every stage of a loop computation in gravity. The procedure treats on equal footing local internal and space-time symmetries althought the complete transformation is known for the former [1] whereas in gravity we solve for the first few orders in an expansion. As an explicit application the one loop UV divergences of Hilbert-Einstein gravity with a cosmological constant and spin 0, 1/2 and 1 matter are computed with functional methods and in a field-covariant formalism.
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spelling doaj.art-312ded2ff8ec4c8c9cf755fffc298fe22022-12-21T18:11:33ZengSpringerOpenJournal of High Energy Physics1029-84792020-05-012020513410.1007/JHEP05(2020)131A covariant momentum representation for loop corrections in gravityRodrigo Alonso0Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of TokyoAbstract A transformation is introduced in momentum representation to keep a covariant description at every stage of a loop computation in gravity. The procedure treats on equal footing local internal and space-time symmetries althought the complete transformation is known for the former [1] whereas in gravity we solve for the first few orders in an expansion. As an explicit application the one loop UV divergences of Hilbert-Einstein gravity with a cosmological constant and spin 0, 1/2 and 1 matter are computed with functional methods and in a field-covariant formalism.http://link.springer.com/article/10.1007/JHEP05(2020)131Models of Quantum GravityEffective Field TheoriesRenormalization Group
spellingShingle Rodrigo Alonso
A covariant momentum representation for loop corrections in gravity
Journal of High Energy Physics
Models of Quantum Gravity
Effective Field Theories
Renormalization Group
title A covariant momentum representation for loop corrections in gravity
title_full A covariant momentum representation for loop corrections in gravity
title_fullStr A covariant momentum representation for loop corrections in gravity
title_full_unstemmed A covariant momentum representation for loop corrections in gravity
title_short A covariant momentum representation for loop corrections in gravity
title_sort covariant momentum representation for loop corrections in gravity
topic Models of Quantum Gravity
Effective Field Theories
Renormalization Group
url http://link.springer.com/article/10.1007/JHEP05(2020)131
work_keys_str_mv AT rodrigoalonso acovariantmomentumrepresentationforloopcorrectionsingravity
AT rodrigoalonso covariantmomentumrepresentationforloopcorrectionsingravity