G. Gaeta , P. Morando
Reducible connections in gauge theories
(28K, Plain TeX)
ABSTRACT. When studying gauge theories (e.g. with finite energy conditions), attention is
traditionally reserved to the subset of irreducible connections, which is open
and dense in the full space of connections. We point out that in general the
residual set of reducible connections contains critical points of the gauge
functionals, which moreover are in general the only ones common to all theories
with a given symmetry, i.e. those determined by the symmetry and the geometry
of the problem alone, and not by the specific choice of the functional.