2006/12/29 by Fred Cooper, Cooper, Fred, Gouranga C. Nayak +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum many-body systems #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0612292
12 pages latex
arxiv created 2006/12/29 · openalex publication_date 2006/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the Schwinger mechanism for the pair production of fermions in the presence of an arbitrary time-dependent background electric field E(t) by directly evaluating the path integral. We obtain an exact non-perturbative result for the probability of fermion-antifermion pair production per unit time per unit volume per unit transverse momentum (of the fermion or antifermion) from the arbitrary time dependent electric field E(t) via Schwinger mechanism. 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 Schwinger's constant electric field E result with the replacement: E -> E(t).