Short-distance Schwinger-mechanism and chiral symmetry

David A. McGady, Jon Brogård

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

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.
OriginalsprogEngelsk
TidsskriftarXiv.org: Physics
StatusAccepteret/In press - 9 nov. 2017

Bibliografisk note

11 pages, 6 figures

Emneord

  • hep-th
  • cond-mat.str-el
  • hep-ph

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