Infinite Soft Theorems from Gauge Symmetry

Abstract

In this letter we show that the soft behaviour of photons and graviton amplitudes, after projection, can be determined to infinite order in soft expansion via ordinary on-shell gauge invariance. In particular, as one of the particle's momenta becomes soft, gauge invariance relates the non-singular diagrams of an n-point amplitude to that of the singular ones up to possible homogeneous terms. We demonstrate that with a particular projection of the soft-limit, the homogeneous terms do not contribute, and one arrives at an infinite soft theorem. This reproduces the result recently derived from the Ward identity of large gauge transformations. We also discuss the modification of these soft theorems due to the presence of higher-dimensional operators.

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Cited by in corpus (24)

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• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Scattering Amplitudes from Soft Theorems and Infrared Behavior
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
• Asymptotic charges in massless QED revisited: A view from Spatial Infinity
• w(1+infinity) and the Celestial Sphere
• New Asymptotic Conservation laws for Electromagnetism
• Deformed $w_{1+\infty }$ Algebras in the Celestial CFT
• Leading soft theorem for multiple gravitini
• Electromagnetic multipole expansions and the logarithmic soft photon theorem
• Asymptotic conservation law with Feynman boundary condition
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Celestial $s{w}_{1+\infty }$ algebra in Einstein-Yang-Mills theory
• Topics in Asymptotic Symmetries and Infrared Effects
• Surface Gauge Invariance, Soft Limits and the Transmutation of Gluons into Scalars
• Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
• Soft Theorems and the KLT-Relation
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Asymptotic Higher Spin Symmetries IV: Einstein-Yang-Mills Theory
• Scalar subleading soft theorems from an infinite tower of charges