Chiral-symmetry breaking and confinement in Minkowski space

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...

Full description

Bibliographic Details
Main Author: Biernat, Elmar P. (author)
Other Authors: Peña, M. T. (author), Ribeiro, J. E. (author), Stadler, Alfred (author), Gross, Franz (author)
Format: lecture
Language:eng
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10174/17206
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/17206
Description
Summary: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.