Constrained Hamiltonian systems

Session 1 at 11H30-13H00; Session 2 at 14H30-16H00

Abstract: In this short course, we review Dirac's method for dealing with constrained systems in the Hamiltonian formalism, including: primary and secondary constraints, first- and second-class constraints, gauge transformations, and counting of degrees of freedom. Examples and exercises, with particular emphasis on gauge field theories (electromagnetism and gravity) will be provided.