Communications in Mathematical Physics

, Volume 73, Issue 3, pp 197–246 | Cite as

Debye screening

  • David C. Brydges
  • Paul Federbush


The existence and exponential clustering of correlation functions for a classical coulomb system at low density or high temperature are proven using methods from constructive quantum field theory, the sine gordon transformation and the Glimm, Jaffe, Spencer expansion about mean field theory. This is a vindication of a belief of long standing among physicists, known as Debye screening. That is, because of special properties of the coulomb potential, the configurations of significant probability are those in which the long range parts ofr−1 are mostly cancelled, leaving an effective exponentially decaying potential acting between charge clouds. This paper generalizes a previous paper of one of the authors in which these results were obtained for a special lattice system. The present treatment covers the continuous mechanics situation, with essentially arbitrary short range forces and charge species. Charge symmetry is not assumed.


Long Range Coulomb Potential Significant Probability Charge Species Present Treatment 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • David C. Brydges
    • 1
  • Paul Federbush
    • 2
  1. 1.Department of MathematicsUniversity of VirginiaCharlottesville
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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