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2016

Beyond generalized Proca theories

Heisenberg, Lavinia, Kase, Ryotaro, Tsujikawa, Shinji

Understand

We consider higher-order derivative interactions beyond second-order generalized Proca theories that propagate only the three desired polarizations of a massive vector field besides the two tensor polarizations from gravity.

These new interactions follow the similar construction criteria to those arising in the extension of scalar-tensor Horndeski theories to Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories.
On the isotropic cosmological background, we show the existence of a constraint with a vanishing Hamiltonian that removes the would-be Ostrogradski ghost.
We study the behavior of linear perturbations on top of the isotropic cosmological background in the presence of a matter perfect fluid and find the same number of propagating degrees of freedom as in generalized Proca theories (two tensor polarizations, two transverse vector modes, and two scalar modes).

Built on

C. Lin, S. Mukohyama, R. Namba and R. Saitou, JCAP 1410
Original
1952
Earlier work this paper cites.
G. W. Horndeski, Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
G. W. Horndeski, J. Math. Phys. 17
1976
Earlier work this paper cites.
B. F. Schutz and R. Sorkin, Annals Phys. 107
1977
Earlier work this paper cites.
J. M. Bardeen, Phys. Rev. D 22
1980
Earlier work this paper cites.
R. Kase and S. Tsujikawa, Int. J. Mod. Phys. D 23
Original
1984
Earlier work this paper cites.
L. Amendola, Phys. Lett. B 301
1993
Earlier work this paper cites.
A. G. Riess et al
1999
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, Phys. Lett. B 485
2000
Earlier work this paper cites.
C. Deffayet, X. Gao, D. A. Steer and G. Zahariade, Phys. Rev. D 84
Original
2000
Earlier work this paper cites.
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, Phys. Lett. B 458
2004
Earlier work this paper cites.
D. J. Eisenstein et al
2005
Earlier work this paper cites.
B. A. Bassett, S. Tsujikawa and D. Wands, Rev. Mod. Phys. 78
2006
Earlier work this paper cites.
A. Nicolis, R. Rattazzi and E. Trincherini, Phys. Rev. D 79
Original
2009
Earlier work this paper cites.
D. Giannakis and W. Hu, Phys. Rev. D 72
Original
2010
Earlier work this paper cites.