Schwinger Mechanism in the Presence of Arbitrary Time Dependent Background Electric Field

Details Schwinger Mechanism in the Presence of Arbitrary Time Dependent Background Electric Field Schwinger Mechanism in the Presence of Arbitrary Time Dependent Background Electric Field

2006-11-13

arxiv.org/abs/hep-th/0611125v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages latex, typos corrected

Scientific paper

We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by directly evaluating the path integral. We obtain an exact non-perturbative result for the probability of charged scalar particle-antiparticle pair production per unit time per unit volume per unit transverse momentum (of the particle or antiparticle) from the arbitrary time dependent electric field E(t). We find that the exact non-perturbative result is independent of all the time derivatives d^nE(t)/dt^n, where n=1,2,....\infty. This result has the same functional dependence on E as the constant electric field E result with the replacement: E -> E(t).

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