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Prog. Theor. Phys. Vol. 54 No. 6 (1975) pp. 1833-1847

[ Full Text PDF : FREE ACCESS (1183K) ]

Bag Theory with the Dirichlet Boundary Conditions and Spontaneous Symmetry Breakdown

Takuo Inoue and Toshihide Maskawa

Department of Physics, Kyoto University, Kyoto 606

(Received May 2, 1975)

Abstract:

The Dirichlet boundary conditions of bag theory are derived for models which have chiral symmetry or gauge symmetry. In order to confine the fields inside the bag, preserving the above symmetries, the masses of the fields are generated by spontaneous symmetry breakdown, and taken to infinity outside the bag. By this method, a chiral invariant model is successfully constructed, and the Dirichlet boundary conditions are derived for a gauge invariant bag model. It is shown that, in this model, a bag is colour singlet as in the bag models (with the Neumann boundary conditions) of the MIT group, but one-quark states can exist, whose colour charges are completely shielded by the Higgs scalars and the Yang-Mills fields. This means that the shielding mechanism does not necessarily lead to quark confinement. In the Appendix, it is shown that bag models with the Neumann boundary conditions have continuous mass spectra.


URL : http://ptp.ipap.jp/link?PTP/54/1833/
DOI : 10.1143/PTP.54.1833

[ Full Text PDF : FREE ACCESS (1183K) ] Citation:

References:

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