TY - JOUR

T1 - Non-local massive gravity

AU - Modesto, Leonardo

AU - Tsujikawa, Shinji

N1 - Funding Information:
L.M. and S.T. are grateful to Gianluca Calcagni for the invitations to 1-st i-Link workshop on quantum gravity and cosmology at which this project was initiated. S.T. is supported by the Scientific Research Fund of the JSPS (No. 24540286 ) and financial support from Scientific Research on Innovative Areas (No. 21111006 ).

PY - 2013/11/25

Y1 - 2013/11/25

N2 - We present a general covariant action for massive gravity merging together a class of "non-polynomial" and super-renormalizable or finite theories of gravity with the non-local theory of gravity recently proposed by Jaccard, Maggiore and Mitsou (Phys. Rev. D 88 (2013) 044033). Our diffeomorphism invariant action gives rise to the equations of motion appearing in non-local massive gravity plus quadratic curvature terms. Not only the massive graviton propagator reduces smoothly to the massless one without a vDVZ discontinuity, but also our finite theory of gravity is unitary at tree level around the Minkowski background. We also show that, as long as the graviton mass m is much smaller the today's Hubble parameter H0, a late-time cosmic acceleration can be realized without a dark energy component due to the growth of a scalar degree of freedom. In the presence of the cosmological constant Λ, the dominance of the non-local mass term leads to a kind of "degravitation" for Λ at the late cosmological epoch.

AB - We present a general covariant action for massive gravity merging together a class of "non-polynomial" and super-renormalizable or finite theories of gravity with the non-local theory of gravity recently proposed by Jaccard, Maggiore and Mitsou (Phys. Rev. D 88 (2013) 044033). Our diffeomorphism invariant action gives rise to the equations of motion appearing in non-local massive gravity plus quadratic curvature terms. Not only the massive graviton propagator reduces smoothly to the massless one without a vDVZ discontinuity, but also our finite theory of gravity is unitary at tree level around the Minkowski background. We also show that, as long as the graviton mass m is much smaller the today's Hubble parameter H0, a late-time cosmic acceleration can be realized without a dark energy component due to the growth of a scalar degree of freedom. In the presence of the cosmological constant Λ, the dominance of the non-local mass term leads to a kind of "degravitation" for Λ at the late cosmological epoch.

KW - Non-local field theory

KW - Perturbative quantum gravity

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U2 - 10.1016/j.physletb.2013.10.037

DO - 10.1016/j.physletb.2013.10.037

M3 - Article

AN - SCOPUS:84887402618

SN - 0370-2693

VL - 727

SP - 48

EP - 56

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-3

ER -