Chiral anomalies in the reduced model

Yoshio Kikukawa, Hiroshi Suzuki

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume6
Issue number9
Publication statusPublished - Sep 1 2002
Externally publishedYes

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anomalies
fermions
embedding
gauge theory
sectors
operators
causes
configurations

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Chiral anomalies in the reduced model. / Kikukawa, Yoshio; Suzuki, Hiroshi.

In: Journal of High Energy Physics, Vol. 6, No. 9, 01.09.2002, p. 649-668.

Research output: Contribution to journalArticle

Kikukawa, Yoshio ; Suzuki, Hiroshi. / Chiral anomalies in the reduced model. In: Journal of High Energy Physics. 2002 ; Vol. 6, No. 9. pp. 649-668.
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