One-loop corrections to the primordial tensor spectrum from massless isocurvature fields
Abstract We study one-loop corrections to the two-point correlation function of tensor perturbations in primordial cosmology induced by massless spectator matter fields. Using the Schwinger-Keldysh formalism in cosmological perturbation theory, we employ dimensional regularization and cutoff regular...
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Format: | Article |
Language: | English |
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SpringerOpen
2020-10-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP10(2020)186 |
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author | Hai Siong Tan |
author_facet | Hai Siong Tan |
author_sort | Hai Siong Tan |
collection | DOAJ |
description | Abstract We study one-loop corrections to the two-point correlation function of tensor perturbations in primordial cosmology induced by massless spectator matter fields. Using the Schwinger-Keldysh formalism in cosmological perturbation theory, we employ dimensional regularization and cutoff regularization to study the finite quantum corrections at one-loop arising from isocurvature fields of the massless scalar, fermion and abelian gauge field which are freely propagating on the FRW spacetime. For all cases, we find a logarithmic running of the form C q 3 H 4 M p 4 $$ \frac{C}{q^3}\frac{H^4}{M_p^4} $$ log H μ $$ \left(\frac{H}{\mu}\right) $$ where C is a negative constant related to the beta function, H is the Hubble parameter at horizon exit and μ is the renormalization scale. |
first_indexed | 2024-12-12T00:28:35Z |
format | Article |
id | doaj.art-96b913dafaa44d7d83a80778cb8c968e |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-12T00:28:35Z |
publishDate | 2020-10-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-96b913dafaa44d7d83a80778cb8c968e2022-12-22T00:44:32ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201012410.1007/JHEP10(2020)186One-loop corrections to the primordial tensor spectrum from massless isocurvature fieldsHai Siong Tan0Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological UniversityAbstract We study one-loop corrections to the two-point correlation function of tensor perturbations in primordial cosmology induced by massless spectator matter fields. Using the Schwinger-Keldysh formalism in cosmological perturbation theory, we employ dimensional regularization and cutoff regularization to study the finite quantum corrections at one-loop arising from isocurvature fields of the massless scalar, fermion and abelian gauge field which are freely propagating on the FRW spacetime. For all cases, we find a logarithmic running of the form C q 3 H 4 M p 4 $$ \frac{C}{q^3}\frac{H^4}{M_p^4} $$ log H μ $$ \left(\frac{H}{\mu}\right) $$ where C is a negative constant related to the beta function, H is the Hubble parameter at horizon exit and μ is the renormalization scale.http://link.springer.com/article/10.1007/JHEP10(2020)186Classical Theories of GravityCosmology of Theories beyond the SMModels of Quantum Gravity |
spellingShingle | Hai Siong Tan One-loop corrections to the primordial tensor spectrum from massless isocurvature fields Journal of High Energy Physics Classical Theories of Gravity Cosmology of Theories beyond the SM Models of Quantum Gravity |
title | One-loop corrections to the primordial tensor spectrum from massless isocurvature fields |
title_full | One-loop corrections to the primordial tensor spectrum from massless isocurvature fields |
title_fullStr | One-loop corrections to the primordial tensor spectrum from massless isocurvature fields |
title_full_unstemmed | One-loop corrections to the primordial tensor spectrum from massless isocurvature fields |
title_short | One-loop corrections to the primordial tensor spectrum from massless isocurvature fields |
title_sort | one loop corrections to the primordial tensor spectrum from massless isocurvature fields |
topic | Classical Theories of Gravity Cosmology of Theories beyond the SM Models of Quantum Gravity |
url | http://link.springer.com/article/10.1007/JHEP10(2020)186 |
work_keys_str_mv | AT haisiongtan oneloopcorrectionstotheprimordialtensorspectrumfrommasslessisocurvaturefields |