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Running Gluon Mass from Landau Gauge Lattice QCD Propagator

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arxiv 1002.4151 v3 pith:KV33FFA6 submitted 2010-02-22 hep-lat hep-phhep-th

O. Oliveira , P. Bicudo This is my paper · ORCID
classification hep-lathep-phhep-th
keywords massgluonpropagatormomentumconstantdatalatticemassive
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The interpretation of the Landau gauge lattice gluon propagator as a massive type bosonic propagator is investigated. Three different scenarios are discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant gluon mass; iii) a momentum dependent mass. We find that the infrared data can be associated with a massive propagator up to momenta $\sim 500$ MeV, with a constant gluon mass of 723(11) MeV, if one excludes the zero momentum gluon propagator from the analysis, or 648(7) MeV, if the zero momentum gluon propagator is included in the data sets. The ultraviolet lattice data is not compatible with a massive type propagator with a constant mass. The scenario of a momentum dependent gluon mass gives a decreasing mass with the momentum, which vanishes in the deep ultraviolet region. Furthermore, we show that the functional forms used to describe the decoupling like solution of the Dyson-Schwinger equations are compatible with the lattice data with similar mass scales.

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Cited by 2 Pith papers

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