Chiral anomalies in the reduced model

Yoshio Kikukawa, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


On the basis of an observation due to Kiskis, Narayanan and Neuberger, we show that there is a remnant of chiral anomalies in the reduced model when a Dirac operator which obeys the Ginsparg-Wilson relation is employed for the fermion sector. We consider fermions belonging to the fundamental representation of the gauge group U (N) or SU(N). For vector-like theories, we determine a general form of the axial anomaly or the topological charge within a framework of a U(1) embedding. For chiral gauge theories with the gauge group U (N), a remnant of gauge anomaly emerges as an obstruction to a smooth fermion integration measure. The pure gauge action of gauge-field configurations which cause these non-trivial phenomena always diverges in the 't Hooft N → ∞ limit when d > 2.

Original languageEnglish
Pages (from-to)649-668
Number of pages20
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - Sept 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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