Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$

• URL: http://arxiv.org/abs/2503.03397v1
• Date: Wed, 05 Mar 2025 11:20:08 GMT
• Title: Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$
• Authors: Timo Jakobs, Marco Garofalo, Tobias Hartung, Karl Jansen, Johann Ostmeyer, Simone Romiti, Carsten Urbach,
• Abstract summary: We show how to define a penalty term based on finite element methods to project onto physical states of the system.<n>We also show for a single plaquette system that in this framework the limit $gto0$ can be approached at constant cost.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we investigate a digitised SU$(2)$ lattice gauge theory in the Hamiltonian formalism. We use partitionings to digitise the gauge degrees of freedom and show how to define a penalty term based on finite element methods to project onto physical states of the system. Moreover, we show for a single plaquette system that in this framework the limit $g\to0$ can be approached at constant cost.

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