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Localisation in worldline pair production and lightfront zero-modes
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The nonperturbative probability of pair production in electric fields depending on lightfront time is given exactly by the locally constant approximation. We explain this by showing that the worldline path integral defining the effective action contains a constraint, which localises contributing paths on hypersurfaces of constant lightfront time. These paths are lightfront zero-modes and there can be no pair production without them; the effective action vanishes if they are projected out.
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Cited by 1 Pith paper
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Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
Adding an antinucleon Fock component, even at only ~2% probability, dramatically reduces the frame dependence of the charge form factor in strongly coupled scalar Yukawa theory on the light front.
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