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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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2016
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| In: |
Annals of physics
Year: 2015, Volume: 365, Pages: 155-179 |
| DOI: | 10.1016/j.aop.2015.12.003 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.aop.2015.12.003 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0003491615004273 
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| Author Notes: | D. Dudal, M.S. Guimaraes, L.F. Palhares, S.P. Sorella |
| Summary: | 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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| Item Description: | Available online 23 December 2015 Gesehen am 28.04.2020 |
| Physical Description: | Online Resource |
| DOI: | 10.1016/j.aop.2015.12.003 |