Quark mass functions and pion structure in Minkowski space

Abstract

We present a study of the dressed quark mass function and the pion structure in Minkowski space using the Covariant Spectator Theory. The quark propagators are dressed with the same kernel that describes the interaction between different quarks. We use an interaction kernel in momentum space that is a relativistic generalization of the linear confining q-qbar potential and a constant potential shift that defines the energy scale. The confining interaction has a Lorentz scalar part that is not chirally invariant by itself but decouples from the equations in the chiral limit and therefore allows the Nambu-Jona-Lasinio mechanism to work. We adjust the parameters of our quark mass function calculated in Minkowski-space to agree with Lattice QCD data obtained in Euclidean space. Results of a calculation of the pion electromagnetic form factor in the relativistic impulse approximation using the same mass function are presented and compared with experimental data.

4 pages, 2 figures, talk given at the The 22nd European Conference on Few-Body Problems in Physics, version published in Few-Body Systems

References in corpus (4)

• 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
• Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
• Pion electromagnetic form factor in the Covariant Spectator Theory

Cited by in corpus (1)

• Quark propagator in Minkowski space