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Can MAG be a predictive EFT? Radiative Stability and Ghost Resurgence in Massive Vector Models

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arxiv 2403.15003 v2 pith:D4GHRUGV submitted 2024-03-22 hep-th

classification hep-th
keywords vectorfieldghostillustrateinteractionspredictivetheoriesabsence
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The rigorous conditions to obtain sensible predictions in non (proper) renormalizable Quantum Field Theories were derived a long time ago, most notably in the works of Steven Weinberg. In this paper we explicitly illustrate the challenges met in carrying this program within the Affine Gravity framework, in particular when attempting to pinpoint viable particle propagation. We explore the one-loop structure of some ghost and tachyon-free vector theories to illustrate the role of structural constraints in their interactions, even in the absence of gauge symmetries. Despite the presence of soft-breaking terms, we show how hopes of casting a vector model within the predictive frame of effective field methods hinges on adopting a gauge-like treatment of their interactions.

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Cited by 5 Pith papers

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