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##### What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator

**Authors**: Pedro Costa, O. Oliveira, P. J. Silva

**Ref.**: Phys. Lett. B **695**, 454-458 (2011)

**Abstract**: The connection between QCD, a nonlocal Nambu--Jona-Lasinio type model and the Landau gauge gluon propagator is explored. This two point function is parameterized by a functional form which is compatible with Dyson-Schwinger and lattice QCD results. Demanding the nonlocal model to reproduce the experimental values for the pion mass, the pion decay constant, $Gamma_{pi
ightarrow gammagamma}$ and the light quark condensate we conclude that low energy physics does not distinguish between the so-called decoupling and scaling solutions of the Dyson-Schwinger equations. This result means that, provided that the model parameters are chosen appropriately, one is free to chose any of the above scenarios. Furthermore, the nonlocal Nambu--Jona-Lasinio quark model considered here is chiral invariant and satisfies the GMOR relation at the 1% level of precision.

**DOI**: 10.1016/j.physletb.2010.11.056

**URL**: arxiv.org