Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913720042520576 |
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| author | Jakobs, Timo Garofalo, Marco Hartung, Tobias Jansen, Karl Ostmeyer, Johann Romiti, Simone Urbach, Carsten |
| author_facet | Jakobs, Timo Garofalo, Marco Hartung, Tobias Jansen, Karl Ostmeyer, Johann Romiti, Simone Urbach, Carsten |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03397 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$ Jakobs, Timo Garofalo, Marco Hartung, Tobias Jansen, Karl Ostmeyer, Johann Romiti, Simone Urbach, Carsten High Energy Physics - Lattice Quantum Physics 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. |
| title | Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$ |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2503.03397 |