2009 DG-MP-PDE Seminar - 03

  • Date: 03/31/2009
Marco Castrillón López (Universidad Complutense de Madrid)

University of British Columbia


Hamilton equations for Gauge-invariant problems


Hamiltonian and Lagrangian formalisms in Field Theories are equivalent
when the Lagrangian is regular. Nevertheless, there are many
interesting instances where the regularity is not guaranteed. This is
the case of those variational problems on connections invariant under
tha action of the gauge group. The Yang-Mills Lagrangian is the best
known example of this situation. The goal of the talk is to show in
this situation the fiber nature of the set of solutions of the Hamilton
equation over the set of solutions of the Euler-Lagrange equations.
Moreover, this structure is studied for the Jacobi fields and the
moduli spaces under the gauge groups. Some physical considerations will
be also analyzed.


3:30pm, WMAX 110