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arXiv · 2210.15547

Defining Canonical Momenta for Discretised SU(2) Gauge Fields

Marco Garofalo·Tobias Hartung·Karl Jansen·Johann Ostmeyer·Simone Romiti·Carsten Urbach
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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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Marco Garofalo, Tobias Hartung, Karl Jansen, Johann Ostmeyer, Simone Romiti, Carsten Urbach. 2022-10-27. Defining Canonical Momenta for Discretised SU(2) Gauge Fields. https://arxiv.org/abs/2210.15547

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