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C. Deffayet, S. Deser, G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors,” Phys. Rev. D80
Original
1967
Earlier work this paper cites.
S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev. D15
1977
Earlier work this paper cites.
Wald,Robert M. “General Relativity, (1984), pg:257”
1984
Earlier work this paper cites.
D. B. Fairlie, J. Govaerts, A. Morozov, “Universal field equations with covariant solutions,” Nucl. Phys. B373
1992
Earlier work this paper cites.
D. B. Fairlie, J. Govaerts, “Euler hierarchies and universal equations,” J. Math. Phys. 33
1992
Earlier work this paper cites.
S. W. Hawking, G. T. Horowitz, “The Gravitational Hamiltonian, action, entropy and surface terms,” Class. Quant. Grav. 13
1996
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze, M. Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B485
2000
Earlier work this paper cites.
A. Padilla, “Surface terms and the Gauss-Bonnet Hamiltonian,” Class. Quant. Grav. 20
2003
Earlier work this paper cites.
M. A. Luty, M. Porrati, R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.
J. M. Cline, S. Jeon, G. D. Moore, “The Phantom menaced: Constraints on low-energy effective ghosts,” Phys. Rev. D70
2004
Earlier work this paper cites.

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2011

Sivanesan, Vishagan

We give a detailed calculation for the Hamiltonian of single galileon field theory, keeping track of all the surface terms.

We calculate the energy of static, spherically symmetric configuration of the single galileon field at cubic order coupled to a point-source and show that the 2-branches of the solution possess energy of equal magnitude and opposite sign, the sign of which is determined by the coefficient of the kinetic term $\alpha_2$.
Moreover the energy is regularized in the short distance (ultra-violet) regime by the dominant cubic term even though the source is divergent at the origin.
We argue that the origin of the negativity is due to the ghost-like modes in the corresponding branch in the presence of the point source.

C. Deffayet, S. Deser, G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors,” Phys. Rev. D80
Original
1967
Earlier work this paper cites.
S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev. D15
1977
Earlier work this paper cites.
Wald,Robert M. “General Relativity, (1984), pg:257”
1984
Earlier work this paper cites.
D. B. Fairlie, J. Govaerts, A. Morozov, “Universal field equations with covariant solutions,” Nucl. Phys. B373
1992
Earlier work this paper cites.
D. B. Fairlie, J. Govaerts, “Euler hierarchies and universal equations,” J. Math. Phys. 33
1992
Earlier work this paper cites.
S. W. Hawking, G. T. Horowitz, “The Gravitational Hamiltonian, action, entropy and surface terms,” Class. Quant. Grav. 13
1996
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze, M. Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B485
2000
Earlier work this paper cites.
A. Padilla, “Surface terms and the Gauss-Bonnet Hamiltonian,” Class. Quant. Grav. 20
2003
Earlier work this paper cites.
M. A. Luty, M. Porrati, R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.
J. M. Cline, S. Jeon, G. D. Moore, “The Phantom menaced: Constraints on low-energy effective ghosts,” Phys. Rev. D70
2004
Earlier work this paper cites.