Celestial operator products of gluons and gravitons
By M. Pate, A. Raclariu, Andrew Strominger, E. Y. Yuan. Reviews in Mathematical Physics, 2019
181 citations recorded by the source corpus.
The operator product expansion (OPE) on the celestial sphere of conformal primary gluons and gravitons is studied. Asymptotic symmetries imply recursion relations between products of operators whose conformal weights differ by half-integers. It is shown, for tree-level Einstein–Yang–Mills theory, that these recursion relations are so constraining that they completely fix the leading celestial OPE coefficients in terms of the Euler beta function. The poles in the beta functions are associated with conformally soft currents.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1dfc94b85b56cd5e882ca250b2fcf0721b7692e1
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Citations in the corpus
- Lectures on celestial amplitudes (2021, methodology): “4.3 Collinear limits as OPEs We have seen that by tuning the conformal dimensions of our operators we land on celestial currents which obey conformally soft factorization theorems.”
- Celestial Holography (2021, background): “Curiously the Ward identities arising from soft theorems lead to recursion relations for the OPE data [114,131] and, given certain analyticity assumptions in ∆, are sufficient to completely bootstrap the leading and, in some cases, subleading collinear behavior of scattering [114, 128, 130, 131, 133”
- Asymptotic symmetries and celestial CFT (2020, background): “Insertions of these ∆ = 1 modes into celestial amplitudes give rise to conformally soft factorization theorems in gauge theory [20,32,33] and gravity [22–24].”