Soft Limits of Yang-Mills Amplitudes and Conformal Correlators

Abstract

We study tree-level celestial amplitudes in Yang-Mills theory -- Mellin transforms of multi-gluon scattering amplitudes that convert them into the correlators of conformal primary fields on two-dimensional celestial sphere. By using purely field-theoretical methods, we show that the soft conformal limit of celestial amplitudes, in which one of the primary field operators associated to gauge bosons becomes a dimension one current, is dominated by the contributions of low-energy soft particles. This result confirms conclusions reached by using Yang-Mills theory formulated in curvilinear coordinates, as pioneered by Strominger. By using well-known collinear limits of Yang-Mills amplitudes, we derive the OPE rules for the primary fields and the holomorphic currents arising in the conformally soft limit. The Ward identities following from OPE have the same form as the identities derived by using soft theorems.

arXiv comment16 pages. v2: 1 reference added

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Cited by in corpus (26)

• Lectures on Celestial Amplitudes
• Carrollian Perspective on Celestial Holography
• Bridging Carrollian and Celestial Holography
• Conformally Soft Theorem in Gauge Theory
• Celestial amplitudes and conformal soft theorems
• The Holographic Nature of Null Infinity
• Extended BMS Algebra of Celestial CFT
• BMS Symmetry of Celestial OPE
• Extended Super BMS Algebra of Celestial CFT
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Double Copy for Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• Shifting Spin on the Celestial Sphere
• Loops on the Celestial Sphere
• Symmetries of free massless particles and soft theorems
• UV considerations on scattering amplitudes in a web of theories
• On loop celestial amplitudes for gauge theory and gravity
• On Sugawara construction on Celestial Sphere
• Bulk locality from the celestial amplitude
• Celestial Superamplitudes
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Poincaré Constraints on Celestial Amplitudes
• $p$-Forms on the Celestial Sphere
• Dynamical Edge Modes in Yang-Mills Theory
• Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
• Non-abelian soft radiation data for a celestial theory