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Confinement and dynamical chiral symmetry breaking in a non-perturbative renormalizable quark model

Inspired by the construction of the Gribov-Zwanziger action in the Landau gauge, we introduce a quark model exhibiting both confinement and chiral symmetry aspects. An important feature is the incorporation of spontaneous chiral symmetry breaking in a renormalizable fashion. The quark propagator in...

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Hauptverfasser: Dudal, David (VerfasserIn) , Guimaraes, M. S. (VerfasserIn) , Palhares, Leticia F. (VerfasserIn) , Sorella, S. P. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2016
In: Annals of physics
Year: 2015, Jahrgang: 365, Pages: 155-179
DOI:10.1016/j.aop.2015.12.003
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.aop.2015.12.003
Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0003491615004273
Volltext
Verfasserangaben:D. Dudal, M.S. Guimaraes, L.F. Palhares, S.P. Sorella

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520 |a Inspired by the construction of the Gribov-Zwanziger action in the Landau gauge, we introduce a quark model exhibiting both confinement and chiral symmetry aspects. An important feature is the incorporation of spontaneous chiral symmetry breaking in a renormalizable fashion. The quark propagator in the condensed vacuum turns out to be of a confining type. Besides a real pole, it exhibits complex conjugate poles. The resulting spectral form is explicitly shown to violate positivity, indicative of its unphysical character. Moreover, the ensuing quark mass function fits well to existing lattice data. To further validate the physical nature of the model, we identify a massless pseudoscalar (i.e. a pion) in the chiral limit and present estimates for the ρ meson mass and decay constant. 
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