Non-Perturbative Quark-Antiquark Production From a Constant Chromo-Electric Field via the Schwinger Mechanism
Abstract
We obtain an exact result for the non-perturbative quark (antiquark) production rate and its pT distribution from a constant SU(3) chromo-electric field Ea with arbitary color index a by directly evaluating the path integral. Unlike the WKB tunneling result, which depends only on one gauge invariant quantity |E|, the strength of the chromo-electric field, we find that the exact result for the pT distribution for quark (antiquark) production rate depends on two independent Casimir (gauge) invariants, EaEa and [dabcEaEbEc]2.
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