Chiral symmetry breaking without bilinear condensates, unbroken axial ZN symmetry, and exact QCD inequalities

Ian I. Kogan, Alex Kovner, M. Shifman

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


An alternative pattern of chiral symmetry breaking, suggested recently, is investigated. It could be self-consistent provided that the chiral SU(Nf)XSU(Nf) symmetry is broken spontaneously down to SU(Nf) XZNf rather than to SU(Nf)V. The discrete axial ZNf then would play a custodial role, preventing the quark bilinears from condensation. It is shown that this pattern of chiral symmetry breaking is ruled out in QCD by exact inequalities. It is not ruled out, however, in other gauge theories with scalar quarks and/or Yukawa couplings.

Original languageEnglish (US)
Article number016001
Pages (from-to)1-5
Number of pages5
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number1
StatePublished - Jan 1 1999


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