Scientific article
Open access

Generalization of the Proca Action

Published inJournal of cosmology and astroparticle physics, vol. 1405, no. 05, 015
  • Open Access - SCOAP3
Publication date2014

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.

  • Dark energy theory
  • Modified gravity
Citation (ISO format)
HEISENBERG, Lavinia. Generalization of the Proca Action. In: Journal of cosmology and astroparticle physics, 2014, vol. 1405, n° 05, p. 015. doi: 10.1088/1475-7516/2014/05/015
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Article (Published version)
ISSN of the journal1475-7516

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