Is the Maxwell field local?

Y. Avishai, H. Ekstein, J. E. Moyal

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Is the classical Maxwell field truly local? This question is raised by several observations, among them the Aharonov-Bohm effect; but the question cannot be answered without a systematic definition and characterization of local subalgebras of observables. This paper reformulates classical field theory in analogy to axiomatic quantum field theory and introduces a precise statement for local independence. (Synonyms for local independence are Einstein causality and principle of maximum signal velocity.) The formal answer of the analysis is: The free Maxwell field does not have local independence. This conclusion is critically discussed.

Original languageEnglish
Pages (from-to)1139-1145
Number of pages7
JournalJournal of Mathematical Physics
Issue number8
StatePublished - 1 Jan 1972
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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