Departamento de Fisica,

Universidad Tecnica Federico Santa Maria,

Casilla 110-V, Avenida Espana 1680,

Valparaiso,

CHILE

E-mail: igor.kondrashuk@usm.cl

**Effective action of dressed mean fields for N
= 4 super-Yang-Mills theory**

**Abstract:**

Based on general considerations such as *R*-operation and Slavnov-Taylor
identity we show that the effective action, being understood as Legendre
transform of

the logarithm of the path integral, possesses particular structure
in *N* =4 supersymmetric Yang-Mills theory for kernels of the
effective action expressed in terms of the dressed effective fields. These
dressed effective fields have been introduced in our previous papers as
actual variables of the effective action. The concept of dressed
effective fields naturally appears in the framework of solution to Slavnov-Taylor
identity. The particularity of the structure is the independence of these
kernels on the ultraviolet regularization scale. These kernels are functions
of mutual spacetime distances and of the gauge coupling. The fact that
beta function in this theory is zero is used significantly.