Conformally Soft Theorem in Gauge Theory

Abstract

Asymptotic particle states in four-dimensional celestial scattering amplitudes are labelled by their $SL(2,\mathbb{C})$ Lorentz/conformal weights $(h,\bar{h})$ rather than the usual energy-momentum four-vector. These boost eigenstates involve a superposition of all energies. As such, celestial gluon (or photon) scattering cannot obey the usual (energetically) soft theorems. In this paper we show that tree-level celestial gluon scattering, in theories with sufficiently soft UV behavior, instead obeys conformally soft theorems involving $h\to 0$ or $\bar{h}\to 0$. Unlike the energetically soft theorem, the conformally soft theorem cannot be derived from low-energy effective field theory.

arXiv comment15 pages

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Cited by in corpus (87)

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• BMS Symmetry of Celestial OPE
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• Conformal Block Expansion in Celestial CFT
• Shifting Spin on the Celestial Sphere
• Revisiting the Conformally Soft Sector with Celestial Diamonds
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• Conformal Blocks from Celestial Gluon Amplitudes
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• Celestial operator products from the worldsheet
• Celestial Amplitudes as AdS-Witten Diagrams
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Loops on the Celestial Sphere
• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
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• Conformal properties of soft-operators - 1 : Use of null-states
• Goldilocks Modes and the Three Scattering Bases
• Celestial holography on Kerr-Schild backgrounds
• Celestial double copy from the worldsheet
• Symmetries of free massless particles and soft theorems
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• On loop celestial amplitudes for gauge theory and gravity
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• Non-abelian infrared divergences on the celestial sphere
• Relativistic partial waves for celestial amplitudes
• Descendants in celestial CFT and emergent multi-collinear factorization
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• From Celestial Correlators to AdS, and back
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
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• On Sugawara construction on Celestial Sphere
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• Celestial Leaf Amplitudes
• Celestial Locality and the Jacobi Identity
• Celestial Superamplitudes
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• From Shockwaves to the Gravitational Memory Effect
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• Poincaré Constraints on Celestial Amplitudes
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• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
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• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• The Grassmannian for Celestial Superamplitudes
• Deformed $w_{1+\infty }$ Algebras in the Celestial CFT
• $p$-Forms on the Celestial Sphere
• Zwanziger's pairwise little group on the celestial sphere
• On Stabilization of Maxwell-BMS Algebra
• Celestial IR divergences and the effective action of supertranslation modes
• Currents in Celestial CFT
• Mapping SYK to the Sky
• Asymptotic conformal symmetry at spatial infinity
• A low-energy limit of Yang-Mills theory on de Sitter space
• Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
• Celestial OPE blocks
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Hietarinta Chern-Simons supergravity and its asymptotic structure
• A Note on the Analytic Structure of Celestial Amplitudes
• Double-soft limit and celestial shadow OPE from charge bracket
• Non-abelian soft radiation data for a celestial theory
• Celestial Holography
• Celestial Feynman Rules for Scalars
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle