Renormalization of anSU(n)linearσmodel in the one-loop approximation forn≥4

Abstract

A linear SU(n) u model with spin-zero mesons is demonstrated to be renormalizable in the one-loop approximation for n 2 4. The mesons are assigned to the ( n , n *) @ ( n *, n ) representation of SU(n) X SU(n).The model incorporates both Nambu-Goldstone symmetry breaking and explicit symmetry-breaking terms linear in the fields. The counterterms are evaluated. As an additional four-point coupling is available in the SU(4) case, the SU(4) model is considered separately. A number of useful relations among the SU(n) f and d tensors are presented.