Defining Canonical Momenta for Discretised SU(2) Gauge Fields
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.
- Publication:
-
The 39th International Symposium on Lattice Field Theory
- Pub Date:
- April 2023
- DOI:
- 10.48550/arXiv.2210.15547
- arXiv:
- arXiv:2210.15547
- Bibcode:
- 2023slft.confE..40G
- Keywords:
-
- High Energy Physics - Lattice;
- Quantum Physics
- E-Print:
- Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August 2022, Rheinische Friedrich-Wilhelms-Universit\"at Bonn, Bonn, Germany