Hamilton equations for gauge-invariant problems

  • Date: 03/31/2009

Marco Castrillón López (mcastri@mat.ucm.es), Universidad Complutense de Madrid, Spain


University of British Columbia


The Hamiltonian and Lagrangian formalisms in field theories are equivalent when
the Lagrangian is regular. Nevertheless, there are many interesting
instances where regularity is not guaranteed. This is the case of those
variational problems on connections invariant under the 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 fibered
nature of the set of solutions of the Hamilton equations 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.

Other Information: 

This event will be held in WMAX 110 at 3:30 PM