Permutation symmetry and anomalous dimensions of four-field operators in theory

Abstract

We calculate the anomalous dimension matrices of four-field operators in a [Formula: see text] theory to second order in the coupling constant. Using the simple Bose symmetry between the fields of the operators, we diagonalized the matrices in a novel way. Eigenvalues are obtained for even spins 2–10. The possible relation between this work and analogous QCD (quantum chromodynamics) calculations is discussed.