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2012

Hawking-Moss instanton in nonlinear massive gravity

Zhang, Ying-li, Saito, Ryo, Sasaki, Misao

Understand

As a first step toward understanding a lanscape of vacua in a theory of non-linear massive gravity, we consider a landscape of a single scalar field and study tunneling between a pair of adjacent vacua.

We study the Hawking-Moss (HM) instanton that sits at a local maximum of the potential, and evaluate the dependence of the tunneling rate on the parameters of the theory.
It is found that provided with the same physical HM Hubble parameter $H_{HM}$, depending on the values of parameters $\alpha_3$ and $\alpha_4$ in the action, the corresponding tunneling rate can be either enhanced or suppressed when compared to the one in the context of General Relativity (GR).
Furthermore, we find the constraint on the ratio of the physical Hubble parameter to the fiducial one, which constrains the form of potential.

Built on

M. Fierz and W. Pauli, Proc. Roy. Soc. Lond. A 173
1939
Earlier work this paper cites.
D. G. Boulware and S. Deser, Phys. Rev. D 6
1972
Earlier work this paper cites.
S. R. Coleman, V. Glaser and A. Martin, Commun. Math. Phys. 58
1978
Earlier work this paper cites.
S. R. Coleman and F. De Luccia, Phys. Rev. D 21
1980
Earlier work this paper cites.
S. W. Hawking and I. G. Moss, Phys. Lett. B 110
1982
Earlier work this paper cites.
D. Comelli, M. Crisostomi, F. Nesti and L. Pilo, JHEP 1203
Original
1983
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, Phys. Rev. D 28
1983
Earlier work this paper cites.
A. Vilenkin, Phys. Rev. D 30
1984
Earlier work this paper cites.
S. W. Hawking, Phys. Lett. B 134
1984
Earlier work this paper cites.
A. Higuchi, Nucl. Phys. B 282
1987
Earlier work this paper cites.
S. Weinberg, Rev. Mod. Phys. 61
1989
Earlier work this paper cites.
T. Tanaka and M. Sasaki, Prog. Theor. Phys. 88
1992
Earlier work this paper cites.
P. Creminelli, A. Nicolis, M. Papucci and E. Trincherini, JHEP 0509
2005
Earlier work this paper cites.