Electromagnetic production of pions and quark dynamical mass in Minkowski space

Mechanism for generation of vector meson resonances is studied in the framework of QCD Dyson-Schwinger equations, which are defined and actually solved in Minkowski space. It is suggested that the timelike pion form factor is generated by the interference of the background quark loops together with the resonant structure predominantly created in the photon-quark-antiquark vertex. It is suggested that QCD Green's functions involving quark fields are oscillating for timelike arguments, which makes the interference effect among various QCD Green's functions quite strong and important for the correct description of production processes. A further peculiarities of dynamical chiral symmetry breaking and confinement phenomena as viewed in Minkowski space are discussed.

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