States of one-dimensional Coulomb systems as simple examples of θ vacua and confinement

Michael Aizenman, Jürg Fröhlich

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

The one-dimensional Coulomb system is known to have equilibrium states with nonvanishing electric field. These states are shown here to be analogous, and related, to the θ vacua which have been discussed for gauge theories in two or more space-time dimensions. The system exhibits confinement of fractional charges, which we dicuss with the purpose of offering a simple example of the θ-vacua phenomenology. Precise relations and connections between one-dimensional Coulomb gases and two-dimensional Abelian gauge theories, and quantum-mechanical matter systems, are discussed.

Original languageEnglish (US)
Pages (from-to)347-364
Number of pages18
JournalJournal of Statistical Physics
Volume26
Issue number2
DOIs
StatePublished - Oct 1 1981

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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