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

Pedro Costa; O. Oliveira; P. J. Silva

doi:10.1016/j.physletb.2010.11.056

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arXiv · 1011.5603

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

Pedro Costa·O. Oliveira·P. J. Silva

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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, $\Gamma_{\pi \rightarrow \gamma\gamma}$ 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.

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Pedro Costa, O. Oliveira, P. J. Silva. 2010-11-25. What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator. https://doi.org/10.1016/j.physletb.2010.11.056

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