Factorization properties of soft graviton amplitudes

By Chris D. White. 2011

223 citations recorded by the source corpus.

We apply recently developed path integral resummation methods to perturbative quantum gravity. In particular, we provide supporting evidence that eikonal graviton amplitudes factorize into hard and soft parts, and confirm a recent hypothesis that soft gravitons are modelled by vacuum expectation values of products of certain Wilson line operators, which differ for massless and massive particles. We also investigate terms which break this factorization, and find that they are subleading with respect to the eikonal amplitude. The results may help in understanding the connections between gravity and gauge theories in more detail, as well as in studying gravitational radiation beyond the eikonal approximation.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d56c9201a359898a230a354ec7774c62b2bbdf88

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Citations in the corpus

New symmetries for the gravitational S-matrix (2015, background): “See [9, 10, 11] for earlier work on soft graviton amplitudes.”
4D scattering amplitudes and asymptotic symmetries from 2D CFT (2016, result): “Our results give a unified explanation for the deep connections recently discovered [20–24,28–32] between asymptotic symmetries and 4D soft theorems [33–37], allowing us to extend and understand these results further.”
Loop corrections to soft theorems in gauge theories and gravity (2014, methodology): “This sub-leading soft graviton theorem was recently discussed by White using eikonal methods [19], and its validity has been verified for all tree-level graviton amplitudes in [1].”
Celestial amplitudes and conformal soft theorems (2019, background): “An important example is the soft physics of massless particles: S-matrix elements for gluons or gravitons where one particle becomes soft are constrained by soft theorems, giving rise to universal limits [16–21].”
Evidence for a New Soft Graviton Theorem (2014, background): “[8, 9, 10]); some of the first results on graviton scattering off scalars go back to work by Gross and Jackiw [11, 12].”
Celestial operator products of gluons and gravitons (2019, unknown): “The collinear limits of gravity amplitudes were first derived in [42] and further developments are in [43, 44].”
Constraining subleading soft gluon and graviton theorems (2014, background): “Similarly, the subleading soft graviton behavior was reported already in 1968 [8], see also the more recent discussion [9].”
TASI Lectures on Scattering Amplitudes (2017, background): “for the subleading soft photon theorem, [65, 66] and the subleading [67, 68, 69, 70] and subsubleading soft graviton theorems [70].”
New gravitational memories (2015, background): “ing soft theorem In the sixties, Weinberg [16] showed that scattering amplitudes in any theory with gravity exhibit universal poles as the energy ω of any external graviton is taken to zero. Recently [17,18,19,20,22,25,26] it has been shown that the ﬁnite, subleading term in the ω → 0 expansion also”
Inelastic black hole scattering from charged scalar amplitudes (2017, background): “[84, 85] concerned the classification of radiation in both gauge theory and gravity, up to and including “nextto-soft” terms in a systematic expansion in the radiated momentum.”
Scattering of spinning black holes from exponentiated soft factors (2018, background): “eading behaviour of gravity amplitudes was rst studied long ago by Gross and Jackiw [5,6]. Indeed, it was already observed in [5,6] that the subleading soft theorem follows from gauge invariance (see [7,8] for a modern perspective), and because of this, it also adopts a universal form up to subleadi”
Soft sub-leading divergences in Yang-Mills amplitudes (2014, background): “These sub-leading terms also have a strong resemblance to structures found in the systematic expansions of amplitudes carried out in [11–13].”