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Finite-size effect in the Schwinger particle-production mechanism

Ren-Chuan Wang

Cheuk-Yin Wong

  • Oak Ridge National Laboratory and Joint Institute for Heavy-Ion Research, Oak Ridge, Tennessee 37831
  • Texas A&M University, College Station, Texas 77843

  • Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831

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Phys. Rev. D 38, 348 – Published 1 July, 1988

DOI: https://doi.org/10.1103/PhysRevD.38.348

Abstract

The Schwinger mechanism of particle production in a strong and uniform electric field for an infinite system is generalized to the case where the strong field is confined between two condenser plates separated by a finite distance. The production rates, for both bosons and fermions, are obtained by solving the Klein-Gordon equation and the Dirac equation in a linear vector potential. They are expressed in terms of parabolic cylinder functions for bosons, and in terms of the confluent hypergeometric functions for fermions. Numerical evaluation of these results shows large deviations of the production rate from what one deduces with the Schwinger formula, indicating a large finite-size effect in particle production.

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Phys. Rev. D 38, 348– Published 1 July, 1988
  • Received 11 January 1988

© 1988 American Physical Society

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