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##### What does low energy physics tell us about the zero momentum gluon propagator?

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

**Ref.**: AIP Conf. Proc. **1343**, 617 (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 choose 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.