4.5 Article

A scattering amplitude in Conformal Field Theory

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP11(2020)139

关键词

Conformal Field Theory; Scattering Amplitudes; AdS-CFT Correspondence

资金

  1. Simons Foundation [488649]
  2. Swiss National Science Foundation [200021-169132]
  3. National Centre of Competence in Research SwissMAP
  4. Swiss National Science Foundation (SNF) [200021_169132] Funding Source: Swiss National Science Foundation (SNF)

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We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as p(2) -> 0. In particular, we study a form factor F(s, t, u) obtained from a four-point function of identical scalar primary operators. We show that F is crossing symmetric, analytic and it has a partial wave expansion. We illustrate our findings in the 3d Ising model, perturbative fixed points and holographic CFTs.

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