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.
Southern University of Science and Technology（南方科技大学）；Imperial College（帝国理工学院）；CERCA, Department of Physics, Case Western Reserve University（凯斯西储大学物理系 CERCA）；Perimeter Institute for Theoretical Physics（理论物理前沿研究所）
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo（米却肯自治大学圣尼古拉斯德伊达尔戈物理与数学研究所）；Departamento de Física, División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato（瓜纳华托大学莱昂校区科学工程分院物理系）；Unidad Académica de Física, Universidad Autónoma de Zacatecas（萨卡特卡斯自治大学物理学学术单元）
University of Heidelberg（海德堡大学）；Institute for Theoretical Physics, University of Heidelberg（海德堡大学理论物理研究所）；University of Graz（格拉茨大学）；Institute of Physics, University of Graz（格拉茨大学物理研究所）；Niels Bohr Institute（尼尔斯·玻尔研究所）；Niels Bohr International Academy（尼尔斯·玻尔国际学院）；Scuola Superiore Meridionale（南方高等学院）；Istituto Nazionale di Fisica Nucleare (INFN)（意大利国家核物理研究所）
Relativistic and Newtonian Proca Stars: A Tale of Two Limits
Universidad de Guanajuato（瓜纳华托大学）；Universidade de Aveiro（阿威罗大学）；Centre for Research and Development in Mathematics and Applications (CIDMA)（数学与应用研发中心 (CIDMA)）；Universidade Federal do Pará（帕拉联邦大学）；Universitat de València（瓦伦西亚大学）；Universidad Autónoma de Zacatecas（萨卡特卡斯自治大学）；Universidade Federal do Espírito Santo（圣埃斯皮里图联邦大学）
