The need to renormalize the cosmological constant

We consider the massless, minimally coupled scalar on de Sitter background. Although the 1-loop divergences of the graviton 1PI 2-point function are canceled by the usual Weyl (C2) and Eddington (R2) counterterms, there is still a finite, nonzero contribution to the graviton 1-point function. Unless...

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Main Authors: N.C. Tsamis, R.P. Woodard, B. Yesilyurt
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269324000315
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author N.C. Tsamis
R.P. Woodard
B. Yesilyurt
author_facet N.C. Tsamis
R.P. Woodard
B. Yesilyurt
author_sort N.C. Tsamis
collection DOAJ
description We consider the massless, minimally coupled scalar on de Sitter background. Although the 1-loop divergences of the graviton 1PI 2-point function are canceled by the usual Weyl (C2) and Eddington (R2) counterterms, there is still a finite, nonzero contribution to the graviton 1-point function. Unless this is canceled by a finite renormalization of the cosmological constant, the 1PI 2-point function will not be conserved, nor will the parameter “H” correspond to the actual Hubble constant. We argue that a similar finite renormalization of the cosmological constant is necessary in pure gravity, and that this must be done when solving the effective field equations for 1-loop corrections to the graviton wave function and to the force of gravity.
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spelling doaj.art-b940c4f1cc914d24a36cab25402ae3062024-02-05T04:30:43ZengElsevierPhysics Letters B0370-26932024-02-01849138472The need to renormalize the cosmological constantN.C. Tsamis0R.P. Woodard1B. Yesilyurt2Institute of Theoretical & Computational Physics, Department of Physics, University of Crete, GR-710 03 Heraklion, GreeceDepartment of Physics, University of Florida, Gainesville, FL 32611, United States; Corresponding author.Department of Physics, University of Florida, Gainesville, FL 32611, United StatesWe consider the massless, minimally coupled scalar on de Sitter background. Although the 1-loop divergences of the graviton 1PI 2-point function are canceled by the usual Weyl (C2) and Eddington (R2) counterterms, there is still a finite, nonzero contribution to the graviton 1-point function. Unless this is canceled by a finite renormalization of the cosmological constant, the 1PI 2-point function will not be conserved, nor will the parameter “H” correspond to the actual Hubble constant. We argue that a similar finite renormalization of the cosmological constant is necessary in pure gravity, and that this must be done when solving the effective field equations for 1-loop corrections to the graviton wave function and to the force of gravity.http://www.sciencedirect.com/science/article/pii/S0370269324000315
spellingShingle N.C. Tsamis
R.P. Woodard
B. Yesilyurt
The need to renormalize the cosmological constant
Physics Letters B
title The need to renormalize the cosmological constant
title_full The need to renormalize the cosmological constant
title_fullStr The need to renormalize the cosmological constant
title_full_unstemmed The need to renormalize the cosmological constant
title_short The need to renormalize the cosmological constant
title_sort need to renormalize the cosmological constant
url http://www.sciencedirect.com/science/article/pii/S0370269324000315
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