Generalized Proca action for an Abelian vector field

Journal Article · Mon Feb 01 04:00:00 EST 2016 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2016/02/004· OSTI ID:22525035

Allys, Erwan; Peter, Patrick ^[1]; Rodríguez, Yeinzon ^[2]

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1. Institut d'Astrophysique de Paris, UMR 7095, 98 bis bd Arago, 75014 Paris (France)
2. Centro de Investigaciones en Ciencias Básicas y Aplicadas, Universidad Antonio Nariño, Cra 3 Este # 47A-15, Bogotá D.C. 110231 (Colombia)

We revisit the most general theory for a massive vector field with derivative self-interactions, extending previous works on the subject to account for terms having trivial total derivative interactions for the longitudinal mode. In the flat spacetime (Minkowski) case, we obtain all the possible terms containing products of up to five first-order derivatives of the vector field, and provide a conjecture about higher-order terms. Rendering the metric dynamical, we covariantize the results and add all possible terms implying curvature.

• OSTI ID: 22525035
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 02 Vol. 2016; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
ACTION INTEGRAL
METRICS
MINKOWSKI SPACE
SPACE-TIME
VECTOR FIELDS