Chiral-symmetry breaking and confinement in Minkowski space

Conference · Fri Jan 01 00:00:00 EST 2016 · AIP Conf. Proceedings

DOI:https://doi.org/10.1063/1.4938620· OSTI ID:1343411

Biernat, Elmer P. ^[1]; Pena, M. T. ^[2]; Ribiero, J. E. ^[3]; Stadler, Alfred ^[4]; Gross, Franz ^[5]

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1. Unibersidade de Lisboa, 104-001, Lisboa, Portugal
2. Universidade de Lisboa, 1049-001, Lisboa, Portugal
3. Universidade de Lisboa, 1049-001 Lisboa, Portugal
4. Universidade de Évora, 7000-671 Évora, Portugal; Universidade de Lisboa, 1049-001 Lisboa, Portugal
5. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1343411
• Report Number(s): JLAB-THY-14-1978; DOE/OR/23177-3299; arXiv:1411.7319
• Journal Information: AIP Conf. Proceedings, Vol. 1701, Issue 01; Conference: Chiral-symmetry breaking and confinement in Minkowski space
• Country of Publication: United States
• Language: English