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Scaling, decoupling and transversality of the gluon propagator

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arxiv 1011.6482 v1 pith:IUNFRPSV submitted 2010-11-30 hep-ph hep-lat

Scaling, decoupling and transversality of the gluon propagator

classification hep-ph hep-lat
keywords behaviordecouplinggluoninfraredpropagatorscalingtechnicaltransversality
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this note we discuss a couple of technical issues relevant to solving the Dyson-Schwinger equation for the gluon propagator in Landau gauge Yang-Mills theory. In the deep infrared functional methods extract a one-parameter family of solutions generically showing a massive behavior referred to as 'decoupling' but also including the so-called 'scaling' solution with a conformal infrared behavior as a limiting case. We emphasize that the latter cannot be ruled out by technical arguments related to the removal of quadratic divergencies and transversality.

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