Chiral-symmetry breaking and confinement in Minkowski space
arXiv:1411.7319 · doi:10.1063/1.4938620
Abstract
We present a model for the quark-antiquark interaction formulated in Minkowski space using the Covariant Spectator Theory. The quark propagators are dressed with the same kernel that describes the interaction between different quarks. By applying the axial-vector Ward-Takahashi identity we show that our model satisfies the Adler-zero constraint imposed by chiral symmetry. For this model, our Minkowski-space results of the dressed quark mass function are compared to lattice QCD data obtained in Euclidean space. The mass function is then used in the calculation of the electromagnetic pion form factor in relativistic impulse approximation, and the results are presented and compared with the experimental data from JLab.
6 pages, 4 figures; prepared for conference "XIth Quark Confinement and the Hadron Spectrum", Saint-Petersburg, Russia, September 8-12, 2014
References in corpus (8)
- Infrared Properties of QCD from Dyson-Schwinger equations
- Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
- The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
- On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
- Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
- Pion electromagnetic form factor in the Covariant Spectator Theory
- Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
- Linear confinement in momentum space: singularity-free bound-state equations