On the 4D generalized Proca action for an Abelian vector field - INSPIRE

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On the 4D generalized Proca action for an Abelian vector field

Erwan Allys
(
- Paris, Inst. Astrophys.
)
,
Juan P. Beltran Almeida
(
- Antonio Narino U.
)
,
Patrick Peter
(
- Paris, Inst. Astrophys. and
- ILP, Paris
)
,
Yeinzon Rodríguez
(
- Antonio Narino U. and
- Santander Industrial U. and
- ICTP, Trieste
)

May 26, 2016

13 pages

Published in:

JCAP 09 (2016) 026

Published: Sep 19, 2016

e-Print:

1605.08355 [hep-th]

DOI:

10.1088/1475-7516/2016/09/026

Report number:

PI-UAN-2016-595FT

View in:

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Abstract: (IOP)

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(μ)(ν) and its Hodge dual tilde F(μ)(ν).

Note:

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

gravity
modified gravity
particle physics - cosmology connection
field theory: vector
field theory: Proca
parity: violation
dimension: 4
field equations
abelian
duality

References(45)

Figures(0)

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