Chiral effective potential in $4D$, $\mathcal{N}=4$ SYM theory

TL;DR

This paper calculates the chiral effective potential in 4D, N=4 super Yang-Mills theory using superfield formalism, showing it is finite and proportional to the classical potential with explicit quantum corrections.

Contribution

It provides the first explicit calculation of the chiral effective potential in 4D, N=4 SYM, demonstrating its finiteness and proportionality to the classical potential.

Findings

Effective potential is finite and proportional to the classical potential.

Quantum corrections are explicitly calculated and factored into a coefficient.

Results are obtained in one- and higher-loop approximations.

Abstract

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