Gluon Amplitudes as 2d Conformal Correlators

By Sabrina Pasterski, Shu-Heng Shao, Andrew Strominger. 2017

221 citations recorded by the source corpus.

Recently, spin-one wavefunctions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wavefunctions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The BCFW recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/96f1f4d46161d5c8df963873f530c074f5a5c9ea

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In Nuclear and High Energy Physics

Citations in the corpus

Bridging Carrollian and celestial holography (2022, background): “z̄ 6= z∗, which amounts to consider holographic duals of bulk amplitudes written in the split metric signature (−,+,−,+) [71].”
Celestial amplitudes and conformal soft theorems (2019, background): “A scattering amplitude evaluated on these states is referred to as a celestial amplitude since the external states are specified by points on the celestial sphere Sd [2, 3].”
Celestial Holography (2021, background): “While CCFT may be an exotic 2D CFT [99, 154], we have already seen indications of a simple analytic structure in the boost weights that encodes information about bulk physics [125, 126, 157].”
Soft limits of Yang-Mills amplitudes and conformal correlators (2019, background): “[3, 4].”
The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, unknown): “Indeed, even some first hints for such a description, seen in perturbation theory, involve much more alien combinatorial, geometric and number-theoretic ideas [9–16], from which the physics of spacetime and quantum mechanics—locality and unitarity—emerge as derivative notions, with a huge amount lef”
Asymptotic symmetries and celestial CFT (2020, background): “This provoked reexamining scattering amplitudes in a basis [15–17] that makes conformal covariance manifest which, in turn, demanded a new understanding of the conformal analog of soft theorems [18–27].”
Celestial operator products of gluons and gravitons (2019, unknown): “Celestial operator spectra were studied in [4–11] and celestial scattering amplitudes in [12–25].”
Conformally soft photons and gravitons (2018, background): “It is convenient to decompose, following [9, 10], (3.”
Lectures on celestial amplitudes (2021, background): “To study the 3-point function we need to analytically continue to R(2,2), where the amplitude will have δ-function support in either the z̄ij or the zij for MHV and anti-MHV, respectively [18].”