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Quantum stability of Proca-Nuevo | | Claudia de Rham
; Lavinia Heisenberg
; Ankip Kumar
; Jann Zosso
; | | Date: |
29 Aug 2021 | | 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 non-trivial constraint by mixing terms of various order whereas
Generalized Proca interactions satisfy the degeneracy condition order by order
for each individual Lagrangians. In both cases the vector field propagates at
most three 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 cut-off. Although
Proca-Nuevo and Generalized Proca are different inherently in their classical
structure, both have the same high energy behaviour when quantum corrections
are taken into account. The arising counter terms 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. | | Source: | arXiv, 2108.12892 | | Services: | Forum | Review | PDF | Favorites | |
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