arXiv:2210.15547·v1·High Energy Physics — Lattice
Defining Canonical Momenta for Discretised SU(2) Gauge Fields
Marco Garofalo🇩🇪 · Tobias Hartung🇬🇧 · Karl Jansen🇩🇪 · Johann Ostmeyer🇬🇧 · Simone Romiti🇩🇪 · Carsten Urbach
Abstract
In this proceeding contribution we discuss how to define canonical momenta for SU(N) lattice gauge theories in the Hamiltonian formalism in a basis where the gauge field operators are diagonal. For an explicit discretisation of SU(2) we construct the momenta and check the violation of the fundamental commutation relations.
Comments: Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August 2022, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany