Abstract
The renormalization group approach towards the string representation of non-abelian gauge theories translates, in terms of the string sigma model beta function equations, the renormalization group evolution of the gauge coupling constant and Zamolodchikov`s c-function. Tachyon stability, glueball mass gap, renormalization group evolution of the c-function and the area law for the Wilson loop are studied for a critical bosonic string vacuum corresponding to a non-abelian gauge theory in four-dimensional space-time. We prove that the same intrinsic geometry for the string vacuum is universal in some sense, reproducing the Yang–Mills beta function to arbitrary loop order in perturbation theory.
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