Short-distance Schwinger-mechanism and chiral symmetry

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.

arXiv comment11 pages, 6 figures

References in corpus (12)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Andreev reflection and Klein tunneling in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Nonlinear screening and ballistic transport in a graphene p-n junction
• The Schwinger mechanism and graphene
• The Schwinger mechanism revisited
• Non-linear electric transport in graphene: quantum quench dynamics and the Schwinger mechanism
• Infrared instability of the de Sitter space
• Quantization of charged fields in the presence of critical potential steps
• Quantum Back Reaction on a Classical Field
• Scattering and pair creation by a constant electric field between two capacitor plates
• Consistency conditions from generalized-unitarity

Cited by in corpus (1)

• Backreaction of Schwinger pair creation in massive QED${}_2$