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Soft Limits Of Yang-Mills Amplitudes And Conformal Correlators, Wei Fan, Angelos Fotopoulos, Tomasz R. Taylor
Soft Limits Of Yang-Mills Amplitudes And Conformal Correlators, Wei Fan, Angelos Fotopoulos, Tomasz R. Taylor
Biological and Physical Sciences Department Faculty Works
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 …
Primary Fields In Celestial Cft, Angelos Fotopoulos, Tomasz R. Taylor
Primary Fields In Celestial Cft, Angelos Fotopoulos, Tomasz R. Taylor
Biological and Physical Sciences Department Faculty Works
The basic ingredient of CCFT holography is to regard four-dimensional amplitudes describing conformal wave packets as two-dimensional conformal correlation functions of the operators associated to external particles. By construction, these operators transform as quasi-primary fields under SL(2, ℂ) conformal symmetry group of the celestial sphere. We derive the OPE of the CCFT energy-momentum tensor with the operators representing gauge bosons and show that they transform as Virasoro primaries under diffeomorphisms of the celestial sphere.