Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Algorithms
Defining Canonical Momenta for Discretised SU$(2)$ Gauge Fields
M. Garofalo, T. Hartung, K. Jansen, J. Ostmeyer, S. Romiti and C. Urbach*
*: corresponding author
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Pre-published on: November 08, 2022
Published on: April 06, 2023
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.
DOI: https://doi.org/10.22323/1.430.0040
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