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Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories · Around

2012

Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories

de Rham, Claudia, Gabadadze, Gregory, Heisenberg, Lavinia et al.

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We study the renormalization of some dimension-4, 7 and 10 operators in a class of nonlinear scalar-tensor theories.

These theories are invariant under: (a) linear diffeomorphisms which represent an exact symmetry of the full non-linear action, and (b) global field-space Galilean transformations of the scalar field.
The Lagrangian contains a set of non-topological interaction terms of the above-mentioned dimensionality, which we show are not renormalized at any order in perturbation theory.
We also discuss the renormalization of other operators, that may be generated by loops and/or receive loop-corrections, and identify the regime in which they are sub-leading with respect to the operators that do not get renormalized.

Built on

A. Vainshtein and I. Khriplovich, “On the zero-mass limit and renormalizability in the theory of massive yang-mills field,” Yad.Fiz
1971
Earlier work this paper cites.
A. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys.Lett
1972
Earlier work this paper cites.
D. Boulware and S. Deser, “Can gravitation have a finite range?,” Phys.Rev
1972
Earlier work this paper cites.
S. Dimopoulos and L. Susskind, “Mass Without Scalars,” Nucl.Phys
1979
Earlier work this paper cites.
G. ’t Hooft, “Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,” NATO Adv.Study Inst.Ser.B Phys
1980
Earlier work this paper cites.
W. Siegel, “Hidden gravity in open string field theory,” Phys.Rev
1994
Earlier work this paper cites.
G. Dvali, G. Gabadadze, and M. Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys.Lett
2000
Earlier work this paper cites.
C. Deffayet, G. Dvali, G. Gabadadze, and A. I. Vainshtein, “Nonperturbative continuity in graviton mass versus perturbative discontinuity,” Phys.Rev
2002
Earlier work this paper cites.
M. A. Luty, M. Porrati, and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP
2003
Earlier work this paper cites.
N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, “Effective field theory for massive gravitons and gravity in theory space,” Annals Phys
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP
2004
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP
2006
Earlier work this paper cites.

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