RT Journal Article
T1 Gauge invariance and variational trivial problems on the bundle of connections.
A1 Castrillón López, Marco
A1 Muñoz Masqué, Jaime
A1 Ratiu, T.
AB Given a principal bundle P→M we classify all first order Lagrangian densities on the bundle of connections associated to P that are invariant under the Lie algebra of infinitesimal automorphisms. These are shown to be variationally trivial and to give constant actions that equal the characteristic numbers of P if dimM is even and zero if dimM is odd. In addition, we show that variationally trivial Lagrangians are characterized by the de Rham cohomology of the base manifold M and the characteristic classes of P of arbitrary degree
PB Elsevier Science
SN 0926-2245
YR 2003
FD 2003-09
LK https://hdl.handle.net/20.500.14352/50861
UL https://hdl.handle.net/20.500.14352/50861
LA eng
DS Docta Complutense
RD 11 abr 2025