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The effective field theory of the gravitational functional measure.

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Title: The effective field theory of the gravitational functional measure.
Authors: Knopki, Henrique1 (AUTHOR) knopki@fisica.ufpr.br, Kuntz, Iberê1,2 (AUTHOR) kuntz@ufpr.br
Source: European Physical Journal C -- Particles & Fields. May2026, Vol. 86 Issue 5, p1-12. 12p.
Subjects: Renormalization group, Path integrals, Riemannian manifolds, Fixed point theory
Abstract: The gravitational path integral measure has been the subject of an increasing interest lately, and no conclusive answer yet exists for its correct form. In this paper, we adopt effective field theory techniques to shed light on this issue. We build the configuration-space metric as an energy expansion, including all possible terms that satisfy the underlying symmetries, and use it to define a Riemannian measure. We study the running of the free parameters that show up in this expansion at leading order, which corresponds to the DeWitt metric with parameter λ. We show that a flat configuration space is excluded on unitarity grounds. Within the vacuum-sector normalization convention adopted here, the renormalization group flow in the DeWitt truncation exhibits a UV-attractive fixed point at λ = - 1. This fixed point matches the value obtained by identifying DeWitt's metric from the kinetic term of general relativity, but in our approach it arises without assuming that identification a priori, providing a renormalization group rationale for the standard choice. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 194633907
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  Data: The effective field theory of the gravitational functional measure.
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  Data: <searchLink fieldCode="AR" term="%22Knopki%2C+Henrique%22">Knopki, Henrique</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> knopki@fisica.ufpr.br</i><br /><searchLink fieldCode="AR" term="%22Kuntz%2C+Iberê%22">Kuntz, Iberê</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> kuntz@ufpr.br</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. May2026, Vol. 86 Issue 5, p1-12. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Renormalization+group%22">Renormalization group</searchLink><br /><searchLink fieldCode="DE" term="%22Path+integrals%22">Path integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Riemannian+manifolds%22">Riemannian manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The gravitational path integral measure has been the subject of an increasing interest lately, and no conclusive answer yet exists for its correct form. In this paper, we adopt effective field theory techniques to shed light on this issue. We build the configuration-space metric as an energy expansion, including all possible terms that satisfy the underlying symmetries, and use it to define a Riemannian measure. We study the running of the free parameters that show up in this expansion at leading order, which corresponds to the DeWitt metric with parameter λ. We show that a flat configuration space is excluded on unitarity grounds. Within the vacuum-sector normalization convention adopted here, the renormalization group flow in the DeWitt truncation exhibits a UV-attractive fixed point at λ = - 1. This fixed point matches the value obtained by identifying DeWitt's metric from the kinetic term of general relativity, but in our approach it arises without assuming that identification a priori, providing a renormalization group rationale for the standard choice. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1140/epjc/s10052-026-15733-w
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      – Code: eng
        Text: English
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        PageCount: 12
        StartPage: 1
    Subjects:
      – SubjectFull: Renormalization group
        Type: general
      – SubjectFull: Path integrals
        Type: general
      – SubjectFull: Riemannian manifolds
        Type: general
      – SubjectFull: Fixed point theory
        Type: general
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      – TitleFull: The effective field theory of the gravitational functional measure.
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            NameFull: Knopki, Henrique
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            NameFull: Kuntz, Iberê
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 86
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              Value: 5
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            – TitleFull: European Physical Journal C -- Particles & Fields
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