A scattering amplitude in conformal field theory

DOI10.1007/JHEP11(2020)139zbMATH Open1456.81378arXiv2003.07361OpenAlexW3109829835MaRDI QIDQ2658183

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Publication date: 18 March 2021

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Abstract: 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 $p^{2}o0$. 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.

Full work available at URL: https://arxiv.org/abs/2003.07361

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