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New tests and applications of the worldline path integral in the first order formalism

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abstract

We present different non-perturbative calculations within the context of Migdal's representation for the propagator and effective action of quantum particles. We first calculate the exact propagators and effective actions for Dirac, scalar and Proca fields in the presence of constant electromagnetic fields, for an even-dimensional spacetime. Then we derive the propagator for a charged scalar field in a spacelike vortex (i.e., instanton) background, in a long-distance expansion, and the exact propagator for a massless Dirac field in 1+1 dimensions in an arbitrary background. Finally, we present an interpretation of the chiral anomaly in the present context, finding a condition that the paths must fulfil in order to have a non-vanishing anomaly.

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hep-th 1

years

2019 1

verdicts

REJECT 1

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Propagator from Nonperturbative Worldline Dynamics

hep-th · 2019-08-13 · reject · novelty 6.0

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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  • Propagator from Nonperturbative Worldline Dynamics hep-th · 2019-08-13 · reject · none · ref 19 · internal anchor

    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.