9. July 2020
Student's Seminar and Journal Club
When: 09.07.2020, 14:00 - 16:00 h
Speaker: Roberto Tanzi
Title: Asymptotic symmetries of Yang-Mills fields in Hamiltonianformulation
Abstract: Asymptotic symmetries are an important feature of theories with long-ranging fields, such as gravity, electromagnetism, and Yang-Mills. I explain how to derive the asymptotic symmetry group of the free SU(N)-Yang-Mills theory from clear-cut first principles using the Hamiltonian formalism. These principles include the minimal assumptions that are necessary to ensure the existence of Hamiltonian structures (phase space, symplectic form, differentiable Hamiltonian) and, in case of Poincaré invariant theories, a canonical action of the Poincaré group. I show that, differently from the electromagnetic case (first studied by Henneaux and Troessaert), the above principles lead to trivial asymptotic symmetries and charges in the Yang-Mills case. This seems to hint at a kind of colour-confinement built into the classical Hamiltonian formulation of non-abelian gauge theories. This talk is based on the paper e-Print: 2006.07268 [hep-th], which my supervisor and I published recently.