Evidence for a New Soft Graviton Theorem

By F. Cachazo, Andrew Strominger. 2014

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The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading order by the universal Weinberg pole formula. Gauge invariance of the formula follows from global energy-momentum conservation. In this paper evidence is given for a conjectured universal formula for the finite subleading term in the expansion about the soft limit, whose gauge invariance follows from global angular momentum conservation. The conjecture is non-trivially verified for all tree-level graviton scattering amplitudes using a BCFW recursion relation. One hopes to understand this infinity of new soft relations as a Ward identity for a new superrotation Virasoro symmetry of the quantum gravity S-matrix.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/65aff33c7a9f5025248279eeea66d499eed389e1

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Citations in the corpus

Scattering of spinning black holes from exponentiated soft factors (2018, methodology): “ngle as Leading Singularity17 4 Discussion27 A Three-point amplitude with spin-1 matter29 B Spin tensor for spin-1 matter30 C Angular-momentum operator32 1 Introduction In 2014 Cachazo and Strominger [1] showed that the soft limit of tree-level gravity amplitudes is controlled by the action of the a”
TASI Lectures on Scattering Amplitudes (2017, background): “ order in the soft momentum. In particular, terms which are ﬁnite in the soft limit also exhibit various universal structures, e.g. for the subleading soft photon theorem, [65, 66] and the subleading [67, 68, 69, 70] and subsubleading soft graviton theorems [70]. 5.2 Adler Zero and Beyond Let us pro”
Superrotation charge and supertranslation hair on black holes (2016, background): “In [81,89,90] a new (6)For standard angular coordinates Θ ∼ (θ, φ), PΘ ∼ (π − θ, φ + π).”
New symmetries of massless QED (2014, methodology): “The framework has proven useful for establishing new symmetries [14] and new soft theorems [4–6].”
Flat holography: aspects of the dual field theory (2016, background): “New soft-graviton theorems related to Ward identities arising out of diagonal super-rotation invariance of the gravitational S-matrix have also been discovered [9], leading ultimately to a Virasoro invariance of the quantum gravity S-matrix [10].”
Soft sub-leading divergences in Yang-Mills amplitudes (2014, background): “The BMS group can be enlarged by considering transformations that act singularly on the sphere at infinity [4, 5], these super-rotations will act on the S-matrix and it has been conjectured that they might be connected to a new universal sub-leading divergence around the soft-limit for gravitational”
Soft Hair on Black Holes. (2016, methodology): “This exact equivalence has provided fundamentally new perspectives on both BMS symmetry and the soft graviton theorem, as well as more generally the infrared behavior of gravitational theories [5,7,9-39].”
Asymptotic symmetries and subleading soft graviton theorem (2014, background): “This theorem, conjectured by Strominger, was proved at tree-level in the so-called holomorphic soft limit in [17], where its validity was also checked in a number of examples.”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, methodology): “However, the result was established [56,57] using Feynman diagrams and proving the equivalent soft theorem, as discussed in section 5.”
Asymptotic symmetries and electromagnetic memory (2015, background): “The utility of such an extension was demonstrated by Strominger and collaborators over the past year when they derived the corresponding tree-level subleading soft factor [5], showed its connection to superrotation generators [6], and completed the above triangle by proposing the spin memory e↵ect [”
Classical and quantum results on logarithmic terms in the soft theorem in four dimensions (2018, background): “Soft theorems [1–12] have been analyzed recently from different perspectives, both using asymptotic symmetries [13–36] and also by direct analysis of amplitudes in field theory and string theory [37–87].”
Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere (2016, unknown): “This conjecture was recently proven [6–8] to follow at tree level(1) from the new subleading soft graviton theorem of [15].”
Conformal basis for flat space amplitudes (2017, methodology): “This conjecture was later refined and verified [4,10,11] for tree-level S-matrices following a new subleading soft graviton theorem [12].”
Asymptotic symmetries of gravity and soft theorems for massive particles (2015, methodology): “In this paper, we extend the relationships between a group of asymptotic symmetries G defined in [7, 8] (referred to as generalized BMS group) with leading and sub-leading soft graviton theorems [9, 10].”
Virasoro conformal blocks in closed form (2015, background): “ermore, Virasoro symmetry appears in increasingly many contexts across dimensions, including the AGT correspondence [2], asymptotic symmetries of quantum gravity in four-dimensional 1 Minkowski space [3,4], and correlators of chiral operators in 4d and 6d superconformal eld theories [5,6]. There is ”