0000000000335838

AUTHOR

B. Reifenhäuser

showing 2 related works from this author

Abelian charges in a nonabelian Yang-Mills theory from the stratification of the space of gauge potentials

1992

Abstract The Abelian charges in a non-Abelian Yang-Mills-Dirac theory arising from the reduction of the structure group are studied. They are defined by the concept of the stabilizer gauge transformations. Their properties are investigated. The relationship between the whole class of stabilizers and the stratification of the space of gauge potentials is given. The effect of the spontaneous symmetry breaking mechanism on these charges is discussed.

PhysicsHigh Energy Physics::TheoryGauge bosonIntroduction to gauge theoryQuantum gauge theoryHamiltonian lattice gauge theoryHigh Energy Physics::LatticeSpontaneous symmetry breakingGeneral Physics and AstronomyYang–Mills theoryGauge theoryAbelian groupMathematical physicsAnnals of Physics
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Anomalies from nonfree action of the gauge group

1990

Abstract The question whether new anomalies appear, connected with the finite dimensional part of the gauge group isomorphic to the structure group of the theory, is investigated in a systematical way. The stability groups from the stratification of the gauge group on the space of connections lead to anomalies. The detection of these anomalies within the equivariant approach pursued here is extremely simple. For a large class of theories it is shown that no new anomalies appear.

PhysicsLarge classPure mathematicsGauge groupGeneral Physics and AstronomyEquivariant mapStratification (mathematics)Annals of Physics
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