2025/09/22 by Greger Torgrimsson, Torgrimsson, Greger · 1 citation
Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Laser-induced spectroscopy and plasma #Solar and Space Plasma Dynamics
paper · pdf · doi:10.48550/arxiv.2509.17770
openalex publication_date 2025/09/22 · openalex created_date 2025/10/16 · openalex updated_date 2026/07/28
We consider Sauter-Schwinger pair production by electric fields that depend on both time and space, E(t,z) and E(t,x,y). For space-independent fields, E(t), momentum conservation, δ(\bf p+\bf p'), fixes the positron momentum, \bf p', in terms of the electron momentum, \bf p. For E(t,z), on the other hand, pz and p'z are independent. However, previous exact-numerical studies have considered only the probability as a function of a single momentum variable, P(pz), P(p'z) or P(p'z-pz), but not the correlation P(pz,p'z). In this paper, we show how to obtain P(pz,p'z) by solving the Dirac equation numerically. To do so, we split the wave function into a background and a scattered wave, ψ(t,\bf x)=ψ\rm back.(t,\bf x)+ψ\rm scat.(t,\bf x), where ψ\rm back.∝exp(± ipx+gauge term). ψ\rm scat. vanishes outside a past light cone and is obtained by solving (iγμDμ-m)ψ\rm scat.=-(iγμDμ-m)ψ\rm back. backwards in time starting with ψ\rm scat.(t→+∞,\bf x)=0.