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From the Feynman-Schwinger representation to the non-perturbative relativistic bound state interaction
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We write the 4-point Green function in QCD in the Feynman-Schwinger representation and show that all the dynamical information are contained in the Wilson loop average. We work out the QED case in order to obtain the usual Bethe-Salpeter kernel. Finally we discuss the QCD case in the non-perturbative regime giving some insight in the nature of the interaction kernel.
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Propagator from Nonperturbative Worldline Dynamics
Worldline Monte Carlo with a fitted potential PDF gives an all-orders quenched propagator for S2QED, with a pole mass that drops toward zero near a critical coupling around 0.72.
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