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Verfasst von:Márián, István Gábor [VerfasserIn]   i
 Jentschura, Ulrich D. [VerfasserIn]   i
 Defenu, Nicolò [VerfasserIn]   i
 Trombettoni, Andrea [VerfasserIn]   i
 Nandori, I. [VerfasserIn]   i
Titel:Vacuum energy and renormalization of the field-independent term
Verf.angabe:I. G. Marian, U.D. Jentschura, N. Defenu, A. Trombettoni and I. Nandori
Ausgabe:Version v2
E-Jahr:2022
Jahr:31 Mar 2022
Umfang:19 S.
Fussnoten:Version 1 vom 24 Juni 2021, Version 2 vom 31 März 2022 ; Gesehen am 18.10.2022
Weitere Titel:Titel der Preprint-Version: Renormalization of field-independent term in the cosmological constant problem
Titel Quelle:Enthalten in: De.arxiv.org
Ort Quelle:[S.l.] : Arxiv.org, 1991
Jahr Quelle:2022
Band/Heft Quelle:(2022), Artikel-ID 2107.06069, Seite 1-19
Abstract:Due to its construction, the nonperturbative renormalization group (RG) evolution of the constant, field-independent term (which is constant with respect to field variations but depends on the RG scale $k$) requires special care within the Functional Renormalization Group (FRG) approach. In several instances, the constant term of the potential has no physical meaning. However, there are special cases where it receives important applications. In low dimensions ($d=1$), in a quantum mechanical model, this term is associated with the ground-state energy of the anharmonic oscillator. In higher dimensions ($d=4$), it is identical to the $\Lambda$ term of the Einstein equations and it plays a role in cosmic inflation. Thus, in statistical field theory, in flat space, the constant term could be associated with the free energy, while in curved space, it could be naturally associated with the cosmological constant. It is known that one has to use a subtraction method for the quantum anharmonic oscillator in $d=1$ to remove the $k^2$ term that appears in the RG flow in its high-energy (UV) limit in order to recover the correct results for the ground-state energy. The subtraction is needed because the Gaussian fixed point is missing in the RG flow once the constant term is included. However, if the Gaussian fixed point is there, no further subtraction is required. Here, we propose a subtraction method for $k^4$ and $k^2$ terms of the UV scaling of the RG equations for $d=4$ dimensions if the Gaussian fixed point is missing in the RG flow with the constant term. Finally, comments on the application of our results to cosmological models are provided.
DOI:doi:10.48550/arXiv.2107.06069
URL:Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.

Volltext ; Verlag: https://doi.org/10.48550/arXiv.2107.06069
 Volltext: http://arxiv.org/abs/2107.06069
 DOI: https://doi.org/10.48550/arXiv.2107.06069
Datenträger:Online-Ressource
Sprache:eng
Sach-SW:Astrophysics - Cosmology and Nongalactic Astrophysics
 General Relativity and Quantum Cosmology
 High Energy Physics - Theory
K10plus-PPN:1819105563
Verknüpfungen:→ Sammelwerk

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