Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-11-25
Phys.Lett.B695:454-458,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 4 figures, 2 tables
Scientific paper
10.1016/j.physletb.2010.11.056
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, $\Gamma_{\pi \rightarrow \gamma\gamma}$ 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.
Costa Pedro
Oliveira Orlando
Silva Pedro J.
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