%0 Journal Article %T Formulation of the Schwinger mechanism in classical statistical field theory %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %A Gelis, F. %A Tanji, N. %Z GENCI-CCRT (Grant No. t2013056929) %Z 28 pages, 28 pdf figures; title changed, to appear in Phys.Rev.D %< avec comité de lecture %Z t13/298 %@ 1550-7998 %J Physical Review D %I American Physical Society %V 87 %P 125035 %8 2013 %D 2013 %R 10.1103/PhysRevD.87.125035 %Z PACS numbers: 11.15.Kc %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph] %Z Physics [physics]/Nuclear Theory [nucl-th]Journal articles %X In this paper, we show how classical statistical field theory techniques can be used to efficiently perform the numerical evaluation of the non-perturbative Schwinger mechanism of particle production by quantum tunneling. In some approximation, we also consider the back-reaction of the produced particles on the external field, as well as the self-interactions of the produced particles. %G English %2 https://cea.hal.science/cea-01004719/document %2 https://cea.hal.science/cea-01004719/file/GElI1.pdf %L cea-01004719 %U https://cea.hal.science/cea-01004719 %~ CEA %~ CNRS %~ OPENAIRE %~ DSM-IPHT %~ CEA-DRF %~ ANR %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE