Abstract
In this paper, we study Schwinger pair production of charged massless particles in constant electric fields of finite-extent. Exploiting a map from the Dirac and Klein-Gordon equation to the harmonic oscillator, we find exact pair production rates for massless fermions and scalars. Pair production rates depend only on the ratio between the capacitor plate separation, $\ell$, and the length-scale of the force-field, $\ell_F$. Chirality ensures that fermion production smoothly vanishes with $\ell/\ell_F$. Scalar pair production though diverges exponentially quickly in this limit. The same limit of the smooth tanh-potential does not diverge; divergences seem tied to singularities in current and charge densities.
Originalsprog | Engelsk |
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Tidsskrift | arXiv.org: Physics |
Status | Accepteret/In press - 9 nov. 2017 |
Bibliografisk note
11 pages, 6 figuresEmneord
- hep-th
- cond-mat.str-el
- hep-ph