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

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arxiv hep-ph/0212105 v2 pith:2HMEKI6K submitted 2002-12-06 hep-ph hep-th

A.C.Aguilar , A.A.Natale , P.S.Rodrigues da Silva (IFT-Unesp , Sao Paulo) This is my paper · ORCID
classification hep-phhep-th
keywords gaugefixedpointpureexistencegluonmassscale
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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 $\beta$ 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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  1. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

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