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Yang - Mills - Higgs equations with nonhomogeneous boundary conditions

Jacek Tafel

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The Yang - Mills - Higgs equations in a spatially bounded subset of the Minkowski space are studied under the assumption of a temporal gauge. It is shown that the Cauchy problem for these equations is uniquely solvable (locally in time) if nonhomogeneous boundary conditions of the metallic type are imposed.


PACS

11.15.-q Gauge field theories

02.20.Sv Lie algebras of Lie groups

02.40.-k Geometry, differential geometry, and topology

MSC

22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 1A (January 1997)



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