2022/03/31 by Nishida, Mitsuhiro
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2203.17057
We study an inequality between a scaling exponent A in the Regge limit of tree-level flat space S-matrices with external massless scalars and another scaling exponent A' in the Regge limit of the corresponding four-point scalar conformal correlators by using scaling exponents of Mellin amplitudes. We derive A'≥ A, which leads to the Regge growth bound of tree-level flat space S-matrices from the chaos bound in the flat space limit of the AdS/CFT correspondence, from polynomial boundedness of the Mellin amplitudes for local bulk descriptions. We also show A'=A from the conformal block expansion in the t-channel with finite intermediate spins when coefficients are not small in the flat space limit.