https://doi.org/10.1140/epjc/s10052-025-15120-x
Regular Article - Theoretical Physics
Dynamics in hamiltonian lattice gauge theory: approaching the continuum limit with partitionings of SU(2)
1
Helmholtz-Institut für Strahlen- und Kernphysik, University of Bonn, Nussallee 14-16, 53115, Bonn, Germany
2
Bethe Center for Theoretical Physics, University of Bonn, Nussallee 12, 53115, Bonn, Germany
3
Northeastern University-London, Devon House, St Katharine Docks, E1W 1LP, London, UK
4
Khoury College of Computer Sciences, Northeastern University, #202, West Village Residence Complex H, 440 Huntington Ave, 02115, Boston, MA, USA
5
Computation-Based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Street, 2121, Nicosia, Cyprus
6
Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738, Zeuthen, Germany
7
Institute for Theoretical Physics, Albert Einstein Center for Fundamental Physics, University of Bern, 3012, Bern, Switzerland
a
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Received:
8
September
2025
Accepted:
24
November
2025
Published online:
13
December
2025
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 
can be approached at constant cost.
© The Author(s) 2025
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