Permutation Symmetry and Anomalous dimensions of Four Field Operators in $\phi^3_6$ theory

We calculate the anomalous dimension matrices of four-field operators in a 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.