Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory

Abstract

We consider an asymptotically free vectorial gauge theory, with gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, having an infrared fixed point of the renormalization group. We calculate scheme-independent series expansions for the anomalous dimensions of higher-spin bilinear fermion operators at this infrared fixed point up to $O({\Delta }_f^3)$, where ${\Delta }_f$ is an $N_f$-dependent expansion variable. Our general results are evaluated for several special cases, including the case $G=\mathrm{SU}(N_c)$ with $R$ equal to the fundamental and adjoint representations.

Comments: 22 pages, latex, 7 figures