Year: 2026
Type: article
Abstract: We study a four-dimensional N = 1 supersymmetric Proca model with an explicit mass term for a real vector superfield and a generalized transverse kinetic operator. Although it displays no gauge redundancy in Proca variables, for local kinetic operators the model is the exact classical unitary-gauge form of the minimal Abelian N = 1 Stueckelberg realization, with the SQED-like exponential as its minimal gauge-covariant matter coupling. We compute the Kählerian contribution to the one-loop effective action using both the background-field Hessian and an independent supergraph organization. In the minimal model the background-dependent divergence is local and is absorbed by the matter Kähler normalization, and the finite local terms left by the subtraction remain scheme dependent. At α = 0 , an anomaly-free minimal Stueckelberg formulation supports a conditional perturbative-renormalizability interpretation for the corresponding minimal theory. For f ( □ ) = □ + α □ 2 we distinguish the exact polynomial model, defined over the full momentum range, from a truncated derivative expansion; in the latter reading, the additional pole and the local matching term are ultraviolet information determined by the completion rather than predictions of the truncated theory.
Source: Nuclear Physics B
Authors: A.C. Lehum, J.R. Nascimento, A.Yu. Petrov
Institutions: Universidade Federal do Pará, Universidade Federal da Paraíba
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1704884635, G537134884
OpenAlex ID: W7103998679