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Groß (Bonn U., HISKP and U. Bonn, Phys. Inst., BCTP), S. Romiti (Bern U. and U. Bern, AEC), L. Funcke (Bonn U., HISKP and U. Bonn, Phys. Inst., BCTP), K. Jansen (Cyprus Inst. and DESY, Zeuthen), A. Kan (Waterloo U.), S. Kühn (DESY, Zeuthen) and C. Urbach(Bonn U., HISKP and U. Bonn, Phys. Inst., BCTP)","publicationIDType":"arXiv","publicationIDNumber":"2503.11480v1","publicationURL":"https://arxiv.org/abs/2503.11480v1","publicationRelationType":"IsSupplementTo"},"citation:dsDescription":{"citation:dsDescriptionValue":"At finite lattice spacing, Lagrangian and Hamiltonian predictions differ due to discretization effects. \nIn 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.\nIn this work, we numerically calculate the Hamiltonian limit of a U(1) gauge theory in (2+1) dimensions.\nThis is achieved by Monte Carlo simulations in the Lagrangian formalism with lattices that are anisotropic in the time direction.\nFor each ensemble, we determine the ratio between the temporal and spatial scale with the  static quark potential and extrapolate to a_t to 0.\nOur results are compared with the data from Hamiltonian simulations at small volumes, showing agreement within <2 sigma.\nThese results can be used to match the two formalisms.\nHere we provide the code and scripts needed to reproduce our results."},"citation:subjectRefinement":[{"subjectRefinementValue":"hep-lat"},{"subjectRefinementValue":"quant-ph"}],"title":"Code and scripts for ``Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory''","subject":"Physics","citation:depositor":"Groß, Christiane","dateOfDeposit":"2025-08-11","citation:freeKeyword":[{"citation:freeKeywordValue":"hep-lat"},{"citation:freeKeywordValue":"quant-ph"},{"citation:freeKeywordValue":"Hamiltonian Lattice Gauge Theory"},{"citation:freeKeywordValue":"Anisotropic Lattice"},{"citation:freeKeywordValue":"Pure Gauge Theory"},{"citation:freeKeywordValue":"U(1) Gauge Theory"},{"citation:freeKeywordValue":"Numerical Simulation"}],"grantNumber":[{"citation:grantNumberAgency":"Deutsche Forschungsgemeinschaft","citation:grantNumberValue":"CRC 1639 NuMeriQS – project no. 511713970"},{"citation:grantNumberAgency":"MKW NRW","citation:grantNumberValue":"NRW-FAIR, funding code NW21-024-A"},{"citation:grantNumberAgency":"Ministry of Science, Research and Culture of the State of Brandenburg","citation:grantNumberValue":"Center for Quantum Technology and Applications (CQTA)"},{"citation:grantNumberAgency":"European Union’s Horizon Europe Framework Programme (HORIZON) under the ERA Chair scheme","citation:grantNumberValue":"grant agreement no. 101087126"}],"citation:dateOfCollection":{"citation:dateOfCollectionStart":"2022-01","citation:dateOfCollectionEnd":"2025-03"},"computationalworkflow:workflowCodeRepository":["https://github.com/christianegross/U1_analyse_potential/tree/clean_for_publication","https://github.com/HISKP-LQCD/su2/tree/su3"],"computationalworkflow:workflowDocumentation":"See the file README.md in the folder scripts for a detailed description of the workflow.","computationalworkflow:workflowType":"Other","software":[{"citation:softwareName":"R","citation:softwareVersion":"4.1.2"},{"citation:softwareName":"C++","citation:softwareVersion":"C++17"}],"@id":"https://doi.org/10.60507/FK2/AUJJ08","@type":["ore:Aggregation","schema:Dataset"],"schema:version":"1.0","schema:name":"Code and scripts for ``Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory''","schema:dateModified":"2025-08-20 15:56:41.617","schema:datePublished":"2025-08-20","schema:creativeWorkStatus":"RELEASED","dvcore:termsOfUse":"The files in the folders \"code\" and \"analysis\" are licensed under the GNU general public license version 3.0(https://www.gnu.org/licenses/gpl-3.0.html).\nThe files in the folders \"how_to_install\" and \"scripts\" are licensed under the license CC BY 4.0(https://creativecommons.org/licenses/by/4.0/).\nA copy of the respective license is contained in each folder.\n","dvcore:fileTermsOfAccess":{"dvcore:fileRequestAccess":true},"schema:includedInDataCatalog":"bonndata","schema:isPartOf":{"schema:name":"bonndata","@id":"https://bonndata.uni-bonn.de/dataverse/bonndata-root","schema:description":"<h3>bonndata is the institutional, cross-disciplinary research data repository for the publication of research data for all researchers at the University of Bonn.\n<br> bonndata is provided by the <a href=\"https://www.hrz.uni-bonn.de/de\">University IT and Data Center </a> and maintained by the <a href=\"https://www.forschungsdaten.uni-bonn.de/de\">Research Data Service Center</a>.\n<br><hr>\nReady to get started with bonndata? \n<br>\nHave a look at our <a href=\"https://confluence.team.uni-bonn.de/x/-1dqBg\">User Guide</a> to get to know the bonndata workflow, tips and tricks!\n<br><hr>\nQuestions? 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