Anomalous Dimensions at an Infrared Fixed Point in an SU($N_c$) Gauge Theory with Fermions in the Fundamental and Antisymmetric Tensor Representations

Abstract

We present scheme-independent calculations of the anomalous dimensions ${\gamma }_{\bar{\psi }\psi ,IR}$ and ${\gamma }_{\bar{\chi }\chi ,IR}$ of fermion bilinear operators $\bar{\psi }\psi$ and $\bar{\chi }\chi$ at an infrared fixed point in an asymptotically free SU($N_c$) gauge theory with massless Dirac fermion content consisting of $N_F$ fermions ${\psi }_i^a$ in the fundamental representation and $N_{A_2}$ fermions ${\chi }_j^{ab}$ in the antisymmetric rank-2 tensor representation, where $i,j$ are flavor indices. For the case $N_c=4$, $N_F=4$, and $N_{A_2}=4$, we compare our results with values of these anomalous dimensions measured in a recent lattice simulation and find agreement.

Comments: 15 pages latex, 5 figures