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arXiv · 2503.03397

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

Timo Jakobs·Marco Garofalo·Tobias Hartung·Karl Jansen·Johann Ostmeyer·Simone Romiti·Carsten Urbach
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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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Timo Jakobs, Marco Garofalo, Tobias Hartung, Karl Jansen, Johann Ostmeyer, Simone Romiti, Carsten Urbach. 2025-03-05. Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$. https://doi.org/10.1140/epjc%2Fs10052-025-15120-x

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