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Pair creation and axial anomaly in light-cone $QED_2$
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abstract
The 1+1 dimensional massive Dirac equation is solved exactly in light-cone coordinates for $x^+ > 0$ and $x^- > -L$, in the presence of an arbitrary $x^+$ dependent electric field. Our solution resolves the ambiguity at $p^+ = 0$. We also obtain the one loop rate for pair production for a positive electric field, compute the expectation values of the vector and axial vector currents, and recover the well known anomaly $e^2 E/\pi$ in the divergence of the latter. A final intriguing result is that the theory seems to exhibit a phase transition in the limit of infinite $L$.
Forward citations
Cited by 2 Pith papers
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Nonlinear trident using WKB and worldline instantons
First WKB and worldline-instanton calculations of nonlinear trident in time-dependent and spacetime-dependent electric fields, including direct and exchange terms and a Coulomb suppression factor.
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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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