Elsevier

Nuclear Physics B

Volume 175, Issue 3, 1 December 1980, Pages 477-492
Nuclear Physics B

The η problem in the large-N limit: Effective Lagrangian approach

https://doi.org/10.1016/0550-3213(80)90024-3Get rights and content

Abstract

The effective lagrangian for the U(1) problem is reanalysed on the basis of the color gauge invariance of the underlying QCD. The decoupling mechanism of the axial-vector ghost from the physical sector is investigated with a particular gauge-fixing condition. The model is then extended to incorporate flavor degrees of freedom. It is explicitly demonstrated that the suppression mechanism for η→3π is evaded in a manner consistent with anomalous Ward-Takahashi identities for the U(1) current without massless Nambu-Goldstone boson. The decays of ϑη(η′)γ are also estimated under the assumption that the decay in question dominantly proceeds through 2 gluons+γ with 2 gluons in the 1S0 state. Finally, strong CP violation is briefly discussed.

References (24)

  • J. Kogut et al.

    Phys. Rev.

    (1975)
  • G. Veneziano

    Nucl. Phys.

    (1979)
  • R.D. Peccei et al.

    Phys. Rev. Lett.

    (1977)
    R.D. Peccei et al.

    Phys. Rev.

    (1977)
    R.J. Crewther et al.

    Phys. Lett.

    (1979)
  • M.A. Shifman et al.

    Nucl. Phys.

    (1980)
  • Y. Fujii

    UT-Komaba 80-5

    (1980)
  • A. Aurilia and Y. Takahashi, ICTP preprint, ICTP/79-80/7; and references...
  • A.A. Migdal

    Phys. Lett.

    (1979)
    A.A. Migdal

    Phys. Lett.

    (1979)
  • N. Nakanishi

    Prog. Theor. Phys.

    (1974)
  • D.J. Gross et al.

    Phys. Rev. Lett.

    (1973)
    H.D. Politzer

    Phys. Rev. Lett.

    (1973)
    S. Weinberg

    Phys. Rev. Lett.

    (1973)
    S. Weinberg

    Phys. Rev.

    (1973)
    H. Fritzsch et al.

    Phys. Lett.

    (1973)
    H.D. Politzer

    Phys. Reports

    (1974)
    W. Marciano et al.

    Phys. Reports

    (1978)
  • S. Weinberg

    Phys. Rev.

    (1975)
  • G. 't Hooft

    Phys. Rev. Lett.

    (1976)
    G. 't Hooft

    Phys. Rev.

    (1976)
    R. Jackiw et al.

    Phys. Rev. Lett.

    (1976)
    C.G. Callan et al.

    Phys. Lett.

    (1976)
    R.J. Crewther

    Phys. Lett.

    (1977)
    M. Ida

    Prog. Theor. Phys.

    (1979)
    M. Ida

    Prog. Theor. Phys.

    (1979)
    Y. Hosotani

    Prog. Theor. Phys.

    (1979)
    R.J. Crewther

    Riv. Nuovo Cim.

    (1979)
  • D.G. Sutherland

    Phys. Lett.

    (1966)
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