Chiral-symmetry breaking and confinement in Minkowski space

Abstract

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.

Asymmetric dark matter and the hadronic spectra of hidden QCD

“…Applying this methodology to a dark QCD inherently comes with the caveats that the exact scaling of these parameters in, for instance, one flavour dark QCD may be more complicated than the scaling we employ. In particular the relationship between bare quark mass and constituent quark mass is non-trivial and has been explored in lattice studies such as [59].…”

Hadronic Observables from Dyson–Schwinger and Bethe–Salpeter equations

“…6.2. Euclidean spacetime and quarks in the complex plane Calculations using DSEs and BSEs are mainly performed in Euclidean momentum space (for studies using Minkowski spacetime see [88,89] and references therein). In particular, this means that for a bound state of mass M , the total momentum P in the rest frame is P = (0, 0, 0, i M ) .…”