Defining Canonical Momenta for Discretised SU(2) Gauge Fields
High Energy Physics - Lattice
2022-10-28 v1 Quantum Physics
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.
Cite
@article{arxiv.2210.15547,
title = {Defining Canonical Momenta for Discretised SU(2) Gauge Fields},
author = {Marco Garofalo and Tobias Hartung and Karl Jansen and Johann Ostmeyer and Simone Romiti and Carsten Urbach},
journal= {arXiv preprint arXiv:2210.15547},
year = {2022}
}
Comments
Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August 2022, Rheinische Friedrich-Wilhelms-Universit\"at Bonn, Bonn, Germany