Journal Article

PUBDB-2025-05254

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Matching Lagrangian and Hamiltonian simulations in (2+1)-dimensional U(1) gauge theory

Groß, C. F. (Corresponding author) ; Romiti, S. ; Funcke, L. ; Jansen, K.DESY* ; Kan, A. ; Kühn, S.DESY* ; Urbach, C.

2025
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1140/epjc/s10052-025-14923-2  doi:10.3204/PUBDB-2025-05254

Report No.: arXiv:2503.11480

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 $a_t \rightarrow 0$. 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.

Note: cc-by, 11 figures, 9 tables. Content matches that published in EPJC. A few additional references, link to data repository of used code

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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)
3. QUEST - QUantum computing for Excellence in Science and Technology (101087126) (101087126)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Gross, C. (Corresponding author)Extern* ; Romiti, S. ; Funcke, L. ; Jansen, K.DESY* ; Kan, A. ; Kuehn, S. (Corresponding author)DESY* ; Urbach, C.
Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory
[10.3204/PUBDB-2025-01008]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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