2006/11/13 by Fred Cooper, Cooper, Fred, Gouranga C. Nayak +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.hep-th/0611125
11 pages latex, typos corrected
arxiv created 2006/12/06 · arxiv updated 2009/12/01
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 dnE(t)/dtn, where n=1,2,....∞. This result has the same functional dependence on E as the constant electric field E result with the replacement: E -> E(t).