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

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

2002-12-06

arxiv.org/abs/hep-ph/0212105v2

Phys.Rev.Lett. 90 (2003) 152001

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, Revtex - Added some clarifying comments and new references

Scientific paper

10.1103/PhysRevLett.90.152001

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 $\beta$ 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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