Abstract: The goal of this talk is to discuss Hamiltonian methods for gauge theories in the context of asymptotic symmetries, with gravity being the key focus. With a brief overview of the role of asymptotic symmetries in scattering processes and infrared physics, I will outline the different forms of Hamiltonian dynamics proposed by Dirac. I will then demonstrate how asymptotic symmetries in gravity, namely the BMS symmetry, may be canonically described within the (3+1) ADM Hamiltonian formulation or Dirac's "instant form" approach, as well as the light-cone formalism based on the "front form" approach. Finally, I will comment on the implications of our results for the initial-value problem of GR, gravitational radiation, and flat space holography.

Meeting ID: 914 1547 7133
Passcode: 389205