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Bosonization for the Schwinger effect at small fermion mass: analytic formula for the 1+1D current in an arbitrary time-dependent, inhomogeneous electric field
We derive an analytic formula for the expectation value of the current due to Schwinger pair-production in an arbitrary time-dependent, spatially inhomogeneous external electric field in 1+1 dimensions, as a perturbative expansion in the fermion mass $m$. We work to order $m^2$, finding contribution
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