Evidence for a New Soft Graviton Theorem

Abstract

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.

arXiv comment21 pages, normalization of J changed to the standard one and references added in v2

References in corpus (15)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• What is the Simplest Quantum Field Theory?
• On Tree Amplitudes in Gauge Theory and Gravity
• Unification of Residues and Grassmannian Dualities
• Scattering Amplitudes
• Tree Level Recursion Relations In General Relativity
• A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
• The Tree Formula for MHV Graviton Amplitudes
• Supertranslations call for superrotations
• A simple formula for gravitational MHV amplitudes
• Constructing Amplitudes from Their Soft Limits
• Generating All Tree Amplitudes in N=4 SYM by Inverse Soft Limit
• Constructing Gravity Amplitudes from Real Soft and Collinear Factorisation

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