# Exact beta function from the holographic loop equation of large-N QCD 4 - High Energy Physics - Theory

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Abstract: We construct and study a previously defined quantum holographic effectiveaction whose critical equation implies the holographic loop equation of large-NQCD 4 for planar self-avoiding loops in a certain regularization scheme. Weextract from the effective action the exact beta function in the given scheme.For the Wilsonean coupling constant the beta function is exacly one loop andthe first coefficient agrees with its value in perturbation theory. For thecanonical coupling constant the exact beta function has a NSVZ form and thefirst two coefficients agree with their value in perturbation theory.

Author: ** Marco Bochicchio**

Source: https://arxiv.org/