Gauge fields as rings of glue

A. M. Polyakov

Research output: Contribution to journalArticlepeer-review

634 Scopus citations


In this paper we take the view that gauge fields can be considered as chiral fields on a loop space, both in classical and in quantum theories. As a result, gauge interactions are interpreted as propagation of the infinitely thin rings formed by the lines of color-electric flux. Equations of motion governing this propagation are derived. In the three-dimensional case some higher conserved currents in the loop space are obtained, indicating that hidden symmetry is present in the theory. In the four-dimensional case the question of hidden symmetry remains unclear. Ward identities in the loop space are obtained and their mathematical structure is investigated. Possible extensions and applications of these results are discussed.

Original languageEnglish (US)
Pages (from-to)171-188
Number of pages18
JournalNuclear Physics, Section B
Issue numberC
StatePublished - 1980

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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