Quantum stability of a new Proca theory
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Published version
Author(s)
de Rham, Claudia
Heisenberg, Lavinia
Kumar, Ankip
Zosso, Jann
Type
Journal Article
Abstract
The construction of general derivative self-interactions for a massive Proca field relies on the well-known condition for constrained systems of having a degenerate Hessian. The nature of the existing constraints algebra will distinguish among different classes of interactions. Proca-Nuevo interactions enjoy a nontrivial constraint by mixing terms of various order whereas generalized Proca interactions satisfy the degeneracy condition order by order for each individual Lagrangian. In both cases the vector field propagates at most 3 degrees of freedom. It has been shown that the scattering amplitudes of Proca-Nuevo arising at the tree level always differ from those of the generalized Proca, implying their genuinely different nature and a lack of relation by local field redefinitions. In this work, we show the quantum stability of the Proca-Nuevo theory below a specific UV cutoff. Although Proca-Nuevo and generalized Proca are different inherently in their classical structure, both have the same high energy behavior when quantum corrections are taken into account. The arising counterterms have the exact same structure and scaling. This might indicate that whatever UV completion they may come from, we expect it to be of similar nature.
Date Issued
2022-01-11
Date Acceptance
2021-11-29
Citation
Physical Review D: Particles, Fields, Gravitation and Cosmology, 2022, 105 (2), pp.1-8
ISSN
1550-2368
Publisher
American Physical Society
Start Page
1
End Page
8
Journal / Book Title
Physical Review D: Particles, Fields, Gravitation and Cosmology
Volume
105
Issue
2
Copyright Statement
© 2022 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
License URL
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000883174900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Astronomy & Astrophysics
GRAVITY
Physical Sciences
Physics
Physics, Particles & Fields
Science & Technology
Publication Status
Published
Article Number
ARTN 024033
Date Publish Online
2022-01-11