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Part 1: Document Description
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Citation |
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Title: |
Code and scripts for ``Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory'' |
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Identification Number: |
doi:10.60507/FK2/AUJJ08 |
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Distributor: |
bonndata |
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Date of Distribution: |
2025-08-20 |
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Version: |
1 |
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Bibliographic Citation: |
Groß, 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, V1 |
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Citation |
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Title: |
Code and scripts for ``Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory'' |
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Identification Number: |
doi:10.60507/FK2/AUJJ08 |
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Authoring Entity: |
Groß, Christiane Franziska (Helmholtz Institute for Radiation and Nuclear Physics (HISKP) and Bethe Center for Theoretical Physics (bctp), Rheinische Friedrich-Wilhelms-Universität Bonn) |
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Romiti, Simone (Institute for Theoretical Physics, Albert Einstein Center for Fundamental Physics, University of Bern) |
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Funcke, Lena (Helmholtz Institute for Radiation and Nuclear Physics (HISKP) and Bethe Center for Theoretical Physics (bctp), Rheinische Friedrich-Wilhelms-Universität Bonn and Transdisciplinary Research Area ``Building Blocks of Matter and Fundamental Interactions'' (TRA Matter), Rheinische Friedrich-Wilhelms-Universität Bonn) |
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Jansen, Karl (Computation-Based Science and Technology Research Center, The Cyprus Institute and Deutsches Elektronen-Synchrotron DESY) |
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Kan, Angus (Institute for Quantum Computing and Department of Physics & Astronomy, University of Waterloo) |
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Kühn, Stefan (Deutsches Elektronen-Synchrotron DESY) |
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Urbach, Carsten (Helmholtz Institute for Radiation and Nuclear Physics (HISKP) and Bethe Center for Theoretical Physics (bctp), Rheinische Friedrich-Wilhelms-Universität Bonn) |
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Software used in Production: |
R |
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Software used in Production: |
C++ |
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Grant Number: |
CRC 1639 NuMeriQS – project no. 511713970 |
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Grant Number: |
NRW-FAIR, funding code NW21-024-A |
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Grant Number: |
Center for Quantum Technology and Applications (CQTA) |
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Grant Number: |
grant agreement no. 101087126 |
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Distributor: |
bonndata |
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Access Authority: |
Groß, Christiane Franziska |
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Depositor: |
Groß, Christiane |
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Date of Deposit: |
2025-08-11 |
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Holdings Information: |
https://doi.org/10.60507/FK2/AUJJ08 |
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Study Scope |
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Keywords: |
Physics |
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Abstract: |
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. Here we provide the code and scripts needed to reproduce our results. |
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Date of Collection: |
2022-01-2025-03 |
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Methodology and Processing |
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Sources Statement |
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Data Access |
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Notes: |
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). 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. |
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Other Study Description Materials |
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Related Publications |
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Citation |
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Title: |
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) |
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Identification Number: |
2503.11480v1 |
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Bibliographic Citation: |
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) |
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Label: |
data.zip |
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Notes: |
application/zip |
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Label: |
README.txt |
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Notes: |
text/plain |