Dynamically Broken Chiral Symmetry With Bag Confinement

Jul, 1980
64 pages
Published in:
  • Phys.Rev.D 24 (1981) 724
Report number:
  • CALT-68-791

Citations per year

198219932004201520250246810
Abstract: (APS)
We lay the groundwork for a model of low-lying mesons in the spirit of the MIT bag model but which also takes into account dynamical chiral-symmetry breaking. We depart from the static cavity approximation in that we dynamically break chiral symmetry prior to confinement and we confine only in the qq¯ relative coordinate. We show that single-gluon exchange in the qq¯ system is a strong component of the force that drives the symmetry breaking. We verify that our approximations respect the chiral Ward identity prior to confinement. For the pion, we find that our boundary condition on the relative coordinate results in a small chiral breaking in that it raises the pion mass from zero to ∼120 MeV.
  • MODEL: BAG
  • PI: MODEL
  • SYMMETRY: CHIRAL
  • SPONTANEOUS SYMMETRY BREAKING
  • QUARK: CONFINEMENT
  • BOUNDARY CONDITION
  • FIELD THEORY: WARD IDENTITY
  • PI: MASS
  • MASS: PI
  • PCAC model