Journal
PHYSICS LETTERS B
Volume 695, Issue 5, Pages 454-458Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2010.11.056
Keywords
Gluon propagator; Chiral symmetry; Lattice QCD
Funding
- F.C.T. [CERN/FP/83644/2008, PTDC/FIS/100968/2008, SFRH/BPD/40998/2007]
- FAPESP
- Fundação para a Ciência e a Tecnologia [CERN/FP/83644/2008] Funding Source: FCT
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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 ->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 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. (C) 2010 Elsevier B.V. All rights reserved.
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