Abstract
Abstract We analyze the structure of fixed points for the non-Abelian four-fermion interactions model in ( 3 + 1 ) dimensions, which has SU ( N c ) ⊗ SU ( N f ) L ⊗ SU ( N f ) R symmetry from the perturbative calculation of the beta function of the reduced system. We treat the model as an effective theory valid in a scale of energy on which p ≪ M , where p are the external momenta and M is a massive parameter that characterizes the coupling constants. Using the Zimmermann reduction mechanism, we show up to 1-loop order, that beyond the infrared fixed point at the origin there is a line of non-trivial ultraviolet fixed points that depend on N c and N f .
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