Gaugino condensate and Veneziano-Yankielowicz effective Lagrangian

TL;DR

This paper analyzes the gluino condensate in supersymmetric Yang-Mills theory, demonstrating its symmetry-based determination and contrasting it with claims of a conformal phase, while discussing the Veneziano-Yankielowicz effective Lagrangian approach.

Contribution

It clarifies the form of the gluino condensate based on symmetries and critiques the conformal phase hypothesis, relating it to the Veneziano-Yankielowicz Lagrangian.

Findings

Gluino condensate is symmetry-determined.

Disagreement with conformal phase hypothesis.

Relation between Veneziano-Yankielowicz Lagrangian and condensate calculation.

Abstract

We study the sypersymmetric pure Yang-Mills theory with semisimple Lie groups. We show that the general form of the gluino condensate is determined solely by the symmetries of the theory and it is in disagreement with the recently proposed existence of a conformal phase in SYM theory. We discuss the peculiarities of the Veneziano-Yankielowicz effective Lagrangian approach and explain how it is related to the calculation of the gluino condensate