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Generalization of the Proca Action

Published in Journal of Cosmology and Astroparticle Physics. 2014, vol. 1405, no. 05, p. 015
Collection Open Access - SCOAP3
Abstract We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a specialchoice of the coefficients of the self-interactions the ghost-like pathologies disappear. This constitutes the Galileon-type generalization of the Proca action with only three propagating physical degrees of freedom. The longitudinal mode of the vector field is associated to the usual Galileon interactions for a specific choice of the overall functions. In difference to a scalar Galileon theory, the generalized Proca field has more free parameters. We then extend this analysis to a curved background. The resulting theory is the Horndeski Proca action with second order equations of motion on curved space-times.
Keywords Dark energy theoryModified gravity
arXiv: 1402.7026
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HEISENBERG, Lavinia. Generalization of the Proca Action. In: Journal of Cosmology and Astroparticle Physics, 2014, vol. 1405, n° 05, p. 015. https://archive-ouverte.unige.ch/unige:55804

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Deposited on : 2015-04-27

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