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Quantum Stability of Generalized Proca Theories

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arxiv 2005.01639 v4 pith:P33S4KIX submitted 2020-05-04 hep-th gr-qc

Quantum Stability of Generalized Proca Theories

classification hep-th gr-qc
keywords generalizedcancellationseffectiveprocaresultsstabilitytheoriesaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We establish radiative stability of generalized Proca effective field theories. While standard powercounting arguments would conclude otherwise, we find non-trivial cancellations of leading order corrections by explicit computation of divergent one-loop diagrams up to four-point. These results are crosschecked against an effective action based generalized Schwinger-DeWitt method. Further, the cancellations are understood as coming from the specific structure of the theory through a decoupling limit analysis which at the same time allows for an extension of the results to higher orders.

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