Quantum corrections to energy of short spinning string inAdS5

Abstract

Motivated by a desire to shed light on the strong-coupling behavior of dimensions of short gauge-theory operators, we consider the famous example of folded spinning string in AdS{sub 5} in the limit of small semiclassical spin parameter S=(S/{radical}({lambda})). In this limit the string becomes short and is moving in a near-flat central region of AdS{sub 5}. Its energy scales with spin as E={radical}(2S)[a{sub 0}+a{sub 1}S+a{sub 2}S{sup 2}+...]. We explicitly compute the leading 1-loop quantum AdS{sub 5}xS{sup 5} superstring correction to the short string energy and show that the coefficient a{sub 0} is not renormalized from its classical value while a{sub 1} receives a nontrivial contribution containing {zeta}(3)