Chiral effective potential in four-dimensional N=4 SYM theory

We consider four-dimensional N=4 , $$SU(N)$$ super-Yang–Mills theory formulated in terms of N=1 superfields where the leading low-energy contributions to the effective action are given by the chiral effective potential. This effective potential is calculated in the one-loop and higher-loop approximations. We show that this potential is automatically finite and proportional to the classical chiral potential. All quantum corrections are found explicitly and factored into a coefficient of the classical potential.