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Relating a gluon mass scale to an infrared fixed point in pure gauge QCD

A. C. Aguilar·A. A. Natale·P. S. Rodrigues da Silva
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Abstract

We show that in pure gauge QCD (or any pure non-Abelian gauge theory) the condition for the existence of a global minimum of energy with a gluon (gauge boson) mass scale also implies the existence of a fixed point of the $β$ function. We argue that the frozen value of the coupling constant found in some solutions of the Schwinger-Dyson equations of QCD can be related to this fixed point. We also discuss how the inclusion of fermions modifies this property.

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A. C. Aguilar, A. A. Natale, P. S. Rodrigues da Silva. 2003-04-22. Relating a gluon mass scale to an infrared fixed point in pure gauge QCD. https://doi.org/10.1103/physrevlett.90.152001

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