Light baryon spatial correlators at short distances
Chao Han, Jialü Zhang
Abstract
To study the light baryon light cone distribution amplitudes (LCDAs), the spatial correlator of the light baryon has been calculated up to one-loop order in coordinate space. They reveal certain identities that do not appear in the study of mesons DAs and parton distribution functions. Subsequently, it was renormalized using the ratio renormalization scheme involving division by a 0-momentum matrix element. Then through the matching in the coordinate space, the light baryon light cone correlator can be extracted out from the spatial correlator. These results provide insights into both the ultraviolet and infrared structures of the light baryon spatial correlator, which is valuable for further exploration in this field. Furthermore, the employed ratio scheme is an efficient and lattice-friendly renormalization approach suitable for short-distance applications. These can be used for studying the light baryon LCDAs using lattice techniques. Published by the American Physical Society 2024