Defining Canonical Momenta for Discretised SU(2) Gauge Fields
Garofalo, Marco, Hartung, Tobias, Jansen, Karl, Ostmeyer, Johann, Romiti, Simone and Urbach, Carsten (2023) Defining Canonical Momenta for Discretised SU(2) Gauge Fields. Proceedings of Science: The Proceedings of 39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany, LATTIC. 040. ISSN 1824-8039
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.
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