Facets of confinement and dynamical chiral symmetry breaking

2002/08/29 by P. Maris, A. Raya, C. D. Roberts +1 · 56 citations
Physics and Astronomy · #Chiral symmetry breaking #Gauge (firearms) #High-Energy Particle Collisions Research #Kernel (algebra) #Limit (mathematics) #Particle physics theoretical and experimental studies #Propagator #Quantum Chromodynamics and Particle Interactions #Spontaneous symmetry breaking #Symmetry breaking #Truncation (statistics) #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1140/epja/i2002-10206-6

published in The European Physical Journal A 18(2-3), 231-235 (Springer Science+Business Media) · 5 pages, 3 figures; contribution to the proceedings of Quark Nuclear Physics (QNP 2002), Juelich, Germany, 9-14 Jun 2002

arxiv created 2002/08/29 · openalex publication_date 2003/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The gap equation is a cornerstone in understanding dynamical chiral symmetry breaking and may also provide clues to confinement. A symmetry-preserving truncation of its kernel enables proofs of important results and the development of an efficacious phenomenology. We describe a model of the kernel that yields: a momentum-dependent dressed-quark propagator in fair agreement with quenched lattice-QCD results; and chiral limit values: f_pi= 68 MeV and <q-bar q> = -(190 MeV)³. It is compared with models inferred from studies of the gauge sector.

Citations

• Goldstone boson's valence-quark distribution
• Gauge covariance and the fermion-photon vertex in three- and four-dimensional, massless quantum electrodynamics
• The infrared behavior of QCD propagators in Landau gauge
• Infinite volume and continuum limits of the Landau-gauge gluon propagator
• Quark propagator from an improved staggered action in Laplacian and Landau gauges
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Dyson-Schwinger equations and their application to hadronic physics

Cited by

• Schwinger Functions and Light-Quark Bound States
• Extracting a model quark propagator’s spectral density
• Derivation of the gap and Bethe-Salpeter equations at large Nc limit and symmetry preserving truncations
• Quark number fluctuations at finite temperature and finite chemical potential via the Dyson-Schwinger equation approach