Dynamical Chiral Symmetry Breaking and Determination of the Quark Masses

Oct, 1987
93 pages
Published in:
  • Phys.Rev.D 38 (1988) 238
Report number:
  • UGVA-DPT-1987/10-552

Citations per year

1988199720062015202305101520
Abstract: (APS)
Using an effective-potential approach for composite operators, we study dynamical symmetry breaking in QCD-like theories with massless quarks. The analysis is extended to massive quarks in QCD with three flavors and the masses of the pseudoscalar-octet mesons and their decay constants are calculated. Renormalization-group corrections are taken into account. The effective potential depends on the standard parameters of QCD: ΛQCD, mu, md, ms and on a mass scale μ which discriminates between the infrared and the ultraviolet regimes. A good fit for the meson masses (agreement within 3%) and for the decay constants is obtained for the following values of the quark masses at 1 GeV: mu=5.8 MeV, md=8.4 MeV, and ms=118 MeV. These values essentially agree with the values obtained by quite different methods.
  • GAUGE FIELD THEORY: SU(N)
  • SYMMETRY: CHIRAL
  • DYNAMICAL SYMMETRY BREAKING
  • FERMION: MASS
  • MASS: FERMION
  • FERMION: FLAVOR
  • HADRON SPECTROSCOPY
  • PSEUDOSCALAR MESON: MASS
  • MASS: PSEUDOSCALAR MESON
  • RENORMALIZATION GROUP