TY - JOUR
T1 - Chiral symmetry breaking without bilinear condensates, unbroken axial ZN symmetry, and exact QCD inequalities
AU - Kogan, Ian I.
AU - Kovner, Alex
AU - Shifman, M.
PY - 1999/1/1
Y1 - 1999/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.59.016001
DO - 10.1103/PhysRevD.59.016001
M3 - Article
AN - SCOPUS:16644395640
SN - 0556-2821
VL - 59
SP - 1
EP - 5
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 1
M1 - 016001
ER -