Code and scripts for ``Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory''doi:10.60507/FK2/AUJJ08bonndata2025-08-201Groß, Christiane Franziska; Romiti, Simone; Funcke, Lena; Jansen, Karl; Kan, Angus; Kühn, Stefan; Urbach, Carsten, 2025, "Code and scripts for ``Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory''", https://doi.org/10.60507/FK2/AUJJ08, bonndata, V1Code and scripts for ``Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory''doi:10.60507/FK2/AUJJ08Groß, Christiane FranziskaRomiti, SimoneFuncke, LenaJansen, KarlKan, AngusKühn, StefanUrbach, CarstenRC++CRC 1639 NuMeriQS – project no. 511713970NRW-FAIR, funding code NW21-024-ACenter for Quantum Technology and Applications (CQTA)grant agreement no. 101087126bonndataGroß, Christiane FranziskaGroß, Christiane2025-08-11PhysicsAt 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. Here we provide the code and scripts needed to reproduce our results.2022-012025-03The 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). The 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/). A copy of the respective license is contained in each folder. Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory - C.F. 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)2503.11480v1Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory - C.F. 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)data.zipapplication/zipREADME.txttext/plain