On the linearity of Regge trajectory at large transfer energy
Abstract
In this note we consider the four-point function of identical scalar operators in its Mellin representation. For CFTs, taking the large scaling dimension limit of the Mellin amplitude yields the flat-space S-matrix. Using this correspondence, and assuming that the Regge-limit of the Mellin amplitude vanishes, we prove that the resulting flat space S-matrix must have string-like linear Regge trajectory in the limit |s|>>|t|>>1. We also show that the Regge limit of Mellin amplitude is captured by the three-point coefficient of two scalars and one double trace operator in the large-spin limit. Using this, we can see that vanishing Regge behaviour occurs at small t'Hooft limit.
Keywords
Cite
@article{arxiv.1611.05797,
title = {On the linearity of Regge trajectory at large transfer energy},
author = {Carlos Cardona and Yu-tin Huang and Tsung-Hsuan Tsai},
journal= {arXiv preprint arXiv:1611.05797},
year = {2016}
}
Comments
5 pages and 1 figure, clarified necessary assumptions, including criteria for vanishing Regge asymptotic