Preprint PUBDB-2026-00586

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Dynamics in hamiltonian lattice gauge theory: approaching the continuum limit with partitionings of SU(2)

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2025

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Report No.: arXiv:2503.03397

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 $g\rightarrow 0$ can be approached at constant cost.

Classification:

Contributing Institute(s):
  1. Centre f. Quantum Techno. a. Application (CQTA)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970) (511713970)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2025
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Dynamics in hamiltonian lattice gauge theory: approaching the continuum limit with partitionings of SU(2)
The European physical journal / C 85(12), 1418 () [10.1140/epjc/s10052-025-15120-x]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2026-01-29, last modified 2026-02-02


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