Critical dynamics of the nonconserved strongly anisotropic permutation symmetric three-vector model

We explore, employing the renormalization-group theory, the critical scaling behavior of the permutation symmetric three-vector model that obeys nonconserving dynamics and has a relevant anisotropic perturbation which drives the system into a nonequilibrium steady state. We explicitly find the independent critical exponents with corrections up to two loops. They include the static exponents ν and η, the off equilibrium exponent η[over ̃], the dynamic exponent z, and the strong anisotropy exponent Δ. We also express the other anisotropy exponents in terms of these.