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| 001 | 625035 | ||
| 005 | 20251207044140.0 | ||
| 024 | 7 | _ | |a Gross:2025qae |2 INSPIRETeX |
| 024 | 7 | _ | |a inspire:2900428 |2 inspire |
| 024 | 7 | _ | |a arXiv:2503.11480 |2 arXiv |
| 024 | 7 | _ | |a 10.3204/PUBDB-2025-01008 |2 datacite_doi |
| 037 | _ | _ | |a PUBDB-2025-01008 |
| 041 | _ | _ | |a English |
| 088 | _ | _ | |a arXiv:2503.11480 |2 arXiv |
| 100 | 1 | _ | |a Gross, Christoph |0 P:(DE-H253)PIP1096851 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory |
| 260 | _ | _ | |c 2025 |
| 336 | 7 | _ | |a Preprint |b preprint |m preprint |0 PUB:(DE-HGF)25 |s 1762431531_1356010 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a WORKING_PAPER |2 ORCID |
| 336 | 7 | _ | |a Electronic Article |0 28 |2 EndNote |
| 336 | 7 | _ | |a preprint |2 DRIVER |
| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
| 336 | 7 | _ | |a Output Types/Working Paper |2 DataCite |
| 500 | _ | _ | |a 11 figures, 9 tables |
| 520 | _ | _ | |a At finite lattice spacing, Lagrangian and Hamiltonian predictions differ due to discretization effects. In the Hamiltonian limit, i.e. at vanishing temporal lattice spacing $a_t$, the path integral approach in the Lagrangian formalism reproduces the results of the Hamiltonian theory. In this work, we numerically calculate the Hamiltonian limit of a U$(1)$ gauge theory in $(2+1)$ dimensions. This is achieved by Monte Carlo simulations in the Lagrangian formalism with lattices that are anisotropic in the time direction. For each ensemble, we determine the ratio between the temporal and spatial scale with the static quark potential and extrapolate to $a_t \to 0$. Our results are compared with the data from Hamiltonian simulations at small volumes, showing agreement within $<2\sigma$. These results can be used to match the two formalisms. |
| 536 | _ | _ | |a 611 - Fundamental Particles and Forces (POF4-611) |0 G:(DE-HGF)POF4-611 |c POF4-611 |f POF IV |x 0 |
| 536 | _ | _ | |a DFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970) |0 G:(GEPRIS)511713970 |c 511713970 |x 1 |
| 536 | _ | _ | |a QUEST - QUantum computing for Excellence in Science and Technology (101087126) |0 G:(EU-Grant)101087126 |c 101087126 |f HORIZON-WIDERA-2022-TALENTS-01 |x 2 |
| 588 | _ | _ | |a Dataset connected to INSPIRE |
| 693 | _ | _ | |0 EXP:(DE-MLZ)NOSPEC-20140101 |5 EXP:(DE-MLZ)NOSPEC-20140101 |e No specific instrument |x 0 |
| 700 | 1 | _ | |a Romiti, S. |b 1 |
| 700 | 1 | _ | |a Funcke, L. |b 2 |
| 700 | 1 | _ | |a Jansen, Karl |0 P:(DE-H253)PIP1003636 |b 3 |
| 700 | 1 | _ | |a Kan, A. |b 4 |
| 700 | 1 | _ | |a Kuehn, Stefan |0 P:(DE-H253)PIP1086314 |b 5 |e Corresponding author |
| 700 | 1 | _ | |a Urbach, C. |b 6 |
| 856 | 4 | _ | |u https://bib-pubdb1.desy.de/record/625035/files/HTML-Approval_of_scientific_publication.html |
| 856 | 4 | _ | |u https://bib-pubdb1.desy.de/record/625035/files/PDF-Approval_of_scientific_publication.pdf |
| 856 | 4 | _ | |y OpenAccess |u https://bib-pubdb1.desy.de/record/625035/files/2503.11480v1.pdf |
| 856 | 4 | _ | |y OpenAccess |x pdfa |u https://bib-pubdb1.desy.de/record/625035/files/2503.11480v1.pdf?subformat=pdfa |
| 909 | C | O | |o oai:bib-pubdb1.desy.de:625035 |p openaire |p open_access |p driver |p VDB |p ec_fundedresources |p dnbdelivery |
| 910 | 1 | _ | |a External Institute |0 I:(DE-HGF)0 |k Extern |b 0 |6 P:(DE-H253)PIP1096851 |
| 910 | 1 | _ | |a Deutsches Elektronen-Synchrotron |0 I:(DE-588b)2008985-5 |k DESY |b 3 |6 P:(DE-H253)PIP1003636 |
| 910 | 1 | _ | |a Deutsches Elektronen-Synchrotron |0 I:(DE-588b)2008985-5 |k DESY |b 5 |6 P:(DE-H253)PIP1086314 |
| 913 | 1 | _ | |a DE-HGF |b Forschungsbereich Materie |l Matter and the Universe |1 G:(DE-HGF)POF4-610 |0 G:(DE-HGF)POF4-611 |3 G:(DE-HGF)POF4 |2 G:(DE-HGF)POF4-600 |4 G:(DE-HGF)POF |v Fundamental Particles and Forces |x 0 |
| 914 | 1 | _ | |y 2025 |
| 915 | _ | _ | |a OpenAccess |0 StatID:(DE-HGF)0510 |2 StatID |
| 915 | _ | _ | |a Creative Commons Attribution CC BY 4.0 |0 LIC:(DE-HGF)CCBY4 |2 HGFVOC |
| 915 | _ | _ | |a Published |0 StatID:(DE-HGF)0580 |2 StatID |
| 920 | 1 | _ | |0 I:(DE-H253)CQTA-20221102 |k CQTA |l Centre f. Quantum Techno. a. Application |x 0 |
| 980 | _ | _ | |a preprint |
| 980 | _ | _ | |a VDB |
| 980 | _ | _ | |a UNRESTRICTED |
| 980 | _ | _ | |a I:(DE-H253)CQTA-20221102 |
| 980 | 1 | _ | |a FullTexts |
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