Contemporary Topics in Medium Energy Physics pp 139-149 | Cite as
A Chirally Symmetric, Confining Quark Model
Abstract
Quark models have provided a. good deal of our theoretical understanding of hadron physics in the low energy region where an application of Quantum Chromodynamics (QCD) so far requires lattice approaches. The price to pay for using models is that the range of applicability is limited. The MIT bag model, for instance, incorporates confinement, but violates the fundamental chiral symmetry of QCD. The pion mass therefore is unrealistically large in the MIT bag modell. The Na.mbu Jona-Lasinio model, on the other hand, is based on a chirally symmetric Lagra.ngia.n, but does not confine2. This implies that the pion mass and the pion decay constant can be reproduced well in the NJL — model, the pion form factor in the time-like region, however, acquires an unphysical width which is due to the emission of quarks3.
Keywords
Chiral Symmetry Ward Identity Pion Mass Pion Form Factor Pion Decay ConstantPreview
Unable to display preview. Download preview PDF.
References
- 1.K. Johnson and S.B. Thorn, Phys. Rev.D 13: 1934 (1976).ADSCrossRefGoogle Scholar
- 2.Y. Nambu and G. Jona., Lasinio, Phys. Rev. 122: 345 (1961).ADSCrossRefGoogle Scholar
- 3.U. Vogl and W. Weise, Progr. Part. Nucl. Phys. 27: 192 (1991).ADSCrossRefGoogle Scholar
- 4.R.T. Cahill and C.D. Roberts, Phys. Revl, 32: 2419 (1985).ADSCrossRefGoogle Scholar
- 5.M.R. Frank, P.C. Tandy, and G. Fai, Phys. Rev. C43: 2808 (1991).ADSGoogle Scholar
- 6.F. Gross and J. Milana, Phys. Revl, 45: 969 (1992).ADSGoogle Scholar
- 7.C.J. Burden, C.D. Roberts and G. Williarns, Phys. Lett. B285: 34. 7 (1992).Google Scholar
- 8.M. Buballa and S. Krewald, Phys. Lett. B294: 19 (1992).Google Scholar
- 9.J. W. Bos, J. H. Koch, and H. W. L. Naus, Phys. Rev. C44: 485 (1991).ADSGoogle Scholar