Pseudoparticles and massless fermions in two dimensions

Curtis Gove Callan, Roger Dashen, David J. Gross

Research output: Contribution to journalArticlepeer-review

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The role of pseudoparticles in the breakdown of chiral U(N) symmetry is studied in a two-dimensional model. Chiral U(1) is always destroyed by the axial-vector anomaly. For N = 2 chiral SU(N) is also spontaneously broken yielding massive fermions and three (decoupled) Goldstone bosons. For N 3 the fermions remain massless. Realistic four-dimensional theories are believed to behave in a similar way but the critical N above which the fermions cease to be massive is not known in four dimensions.

Original languageEnglish (US)
Pages (from-to)2526-2534
Number of pages9
JournalPhysical Review D
Issue number8
StatePublished - Jan 1 1977

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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