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arXiv · 1704.01714

An approach to QCD perturbative and non-perturbative beta functions

Renata Jora
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Abstract

Using the global properties of the QCD partition function we determine an all order perturbative beta function in the background gauge field method to find out that it has a simple expressions whose properties and consequences align with other recent results in the QCD literature. We further compute the non-perturbative beta functions for the coupling constant and the theta angle in the background of an instanton field with winding number $n$. We solve for the theta angle in the non-perturbative region to determine that it is approximately zero. By extrapolating to the full QCD beta functions our result may constitute a solution to the strong CP problem.

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Renata Jora. 2017-04-06. An approach to QCD perturbative and non-perturbative beta functions. https://arxiv.org/abs/1704.01714

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