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Gravitation
About: Gravitation is a research topic. Over the lifetime, 29306 publications have been published within this topic receiving 821510 citations.
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TL;DR: For a positive gravity induced anomalous dimension A λ > 0, the running of the quartic scalar self interaction at scales beyond the Planck mass is determined by a fixed point at zero as mentioned in this paper.
389 citations
TL;DR: In this article, it is suggested that current cosmic acceleration arises due to modification of general relativity by the terms with negative powers of curvature, and that such a model which seems to eliminate the need for dark energy may have the origin in M-theory.
388 citations
TL;DR: In this paper, a nonlinear Schrodinger equation with a self-interacting term was proposed and the separability conditions of Bialynicki-Birula were satisfied in an asymptotic sense.
386 citations
TL;DR: In this article, the full nonanalytic component of the scattering matrix potential to one-loop order was obtained and the lowest order vertex rules for the resulting effective field theory were presented and the oneloop diagrams which yield the leading nonrelativistic post-Newtonian and quantum corrections to the gravitational scattering amplitude to second order in G were calculated in detail.
Abstract: We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented and the one-loop diagrams which yield the leading nonrelativistic post-Newtonian and quantum corrections to the gravitational scattering amplitude to second order in G are calculated in detail. The Fourier transformed amplitudes yield a nonrelativistic potential and our result is discussed in relation to previous calculations. The definition of a potential is discussed as well, and we show that the ambiguity of the potential under coordinate changes is resolved.
385 citations
TL;DR: In this paper, the key mechanisms of higher-spin extensions of ordinary gravities in four dimensions and higher are explained, and an overview of various no-go theorems for low-energy scattering of massless particles in flat spacetime is given.
Abstract: Aiming at nonexperts, the key mechanisms of higher-spin extensions of ordinary gravities in four dimensions and higher are explained. An overview of various no-go theorems for low-energy scattering of massless particles in flat spacetime is given. In doing so, a connection between the $S$-matrix and the Lagrangian approaches is made, exhibiting their relative advantages and weaknesses, after which potential loopholes for nontrivial massless dynamics are highlighted. Positive yes-go results for non-Abelian cubic higher-derivative vertices in constantly curved backgrounds are reviewed. Finally, how higher-spin symmetry can be reconciled with the equivalence principle in the presence of a cosmological constant leading to the Fradkin-Vasiliev vertices and Vasiliev's higher-spin gravity with its double perturbative expansion (in terms of numbers of fields and derivatives) is outlined.
383 citations