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- Title
Goldstone bosons on celestial sphere and conformal soft theorems.
- Authors
Kampf, Karol; Novotný, Jiří; Trnka, Jaroslav; Vaško, Petr
- Abstract
In this paper, we study celestial amplitudes of Goldstone bosons and conformal soft theorems. Motivated by the success of soft bootstrap in momentum space and the important role of the soft limit behavior of tree-level amplitudes, our goal is to extend some of the methods to the celestial sphere. The crucial ingredient of the calculation is the Mellin transformation, which transforms four-dimensional scattering amplitudes to correlation functions of primary operators in the celestial CFT. The soft behavior of the amplitude is then translated to the singularities of the correlator. Only for amplitudes in "UV completed theories" (with sufficiently good high energy behavior) the Mellin integration can be properly performed. In all other cases, the celestial amplitude is only defined in a distributional sense with delta functions. We provide many examples of celestial amplitudes in UV-completed models, including linear sigma models and Z-theory, which is a certain completion of the SU(N) non-linear sigma model. We also comment on the BCFW-like and soft recursion relations for celestial amplitudes and the extension of soft bootstrap ideas.
- Subjects
NAMBU-Goldstone bosons; MOMENTUM space; SCATTERING amplitude (Physics); SPHERES; OPERATOR functions; STATISTICAL correlation
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 12, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP12(2023)135