We extend Michel's theorem on the geometry of symmetry breaking to the case of pure gauge theories, i.e., of gauge-invariant functionals defined on the space C of connections of a principal fiber bundle. Our proof follows closely the original one by Michel, using several known results on geometry of C. The result (and proof) is also extended to the case of gauge theories with matter fields.
Michel Theory of Symmetry Breaking and Gauge Theories / G. Gaeta, P. Morando. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - 260:1(1997), pp. 149-170.
Michel Theory of Symmetry Breaking and Gauge Theories
G. GaetaPrimo
;P. MorandoUltimo
1997
Abstract
We extend Michel's theorem on the geometry of symmetry breaking to the case of pure gauge theories, i.e., of gauge-invariant functionals defined on the space C of connections of a principal fiber bundle. Our proof follows closely the original one by Michel, using several known results on geometry of C. The result (and proof) is also extended to the case of gauge theories with matter fields.
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