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We elucidate chirality production under parity breaking constant electromagnetic fields, with which we clarify qualitative differences in and out of equilibrium.
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To justify the imaginary rotation with singularities from c o t h ( e B s ) \mathop{coth}\nolimits(eBs) we should consider a nonzero z 1 z_{1} and z 2 z_{2} first, for which contours near and below these poles can be added without changing the integral. Then the imaginary rotation does not hit any poles, and finally z 1 , z 2 → 0 z_{1},z_{2}\to 0 can be taken
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