2016/05/31 by Erwan Allys, Juan P. Beltrán Almeida, Juan P. Beltran Almeida +3 · 76 citations
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #Field (mathematics) #Hessian matrix #Scalar (mathematics) #Tensor (intrinsic definition) #Vector field #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2016/09/026
published in Journal of Cosmology and Astroparticle Physics 2016(09), 026 (Institute of Physics) · LaTeX file in jcappub style, 11 pages, no figures. v2: Minor changes according to the referee requirements. A new parity-violating term in the Lagrangian has been uncovered and the text has been changed accordingly. The conclusions are, essentially, unchanged. v3: Miscellaneous changes. Version to be published in Journal of Cosmology and Astroparticle Physics
openalex created_date 2016/06/24 · arxiv created 2016/09/09 · openalex publication_date 2016/09/19 · arxiv updated 2016/09/20 · openalex updated_date 2026/08/06
We summarize previous results on the most general Proca theory in 4 dimensions containing only first-order derivatives in the vector field (second-order at most in the associated Stückelberg scalar) and having only three propagating degrees of freedom with dynamics controlled by second-order equations of motion. Discussing the Hessian condition used in previous works, we conjecture that, as in the scalar galileon case, the most complete action contains only a finite number of terms with second-order derivatives of the Stückelberg field describing the longitudinal mode, which is in agreement with the results of JCAP 05 (2014) 015 and Phys. Lett. B 757 (2016) 405 and complements those of JCAP 02 (2016) 004 . We also correct and complete the parity violating sector, obtaining an extra term on top of the arbitrary function of the field A μ , the Faraday tensor F μν and its Hodge dual μν .