Yang-Mills and Dirac fields in a bag

Schwarz, Gunter; Sniatycki, Jedrzej

doi:10.1007/BF02101557

Yang-Mills and Dirac fields in a bag

Gunter Schwarz
(
- Calgary U.
)
,
Jedrzej Sniatycki
(
- Calgary U.
)

Jul 26, 1993

15 pages

Published in:

Commun.Math.Phys. 168 (1995) 441-454

DOI:

10.1007/BF02101557

Report number:

PRINT-93-0542 (CALGARY)

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Abstract: (Springer)

The Cauchy problem for the Yang-Mills-Dirac system with minimal coupling is studied under the MIT quark bag boundary conditions. An existence and uniqueness theorem for the free Dirac equation is proven under that boundary condition. The existence and uniqueness of the classical time evolution of the Yang-Mills-Dirac system in a bag is shown. To ensure sufficient differentiability of the fields we need additional boundary conditions. In the proof we use the Hodge decomposition of Yang-Mills fields and the theory of non-linear semigroups.

gauge field theory: Yang-Mills
Dirac equation
bag model
field theory: classical
gauge fixing
constraint
boundary condition

References(6)

Figures(0)

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