Preprint

PUBDB-2025-02523

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Towards determining the (2+1)-dimensional Quantum Electrodynamics running coupling with Monte Carlo and quantum computing methods

Crippa, A. (Corresponding author)DESY* ; Romiti, S. (Corresponding author)Extern* ; Funcke, L. ; Jansen, K.DESY* ; Kühn, S.DESY* ; Stornati, P. ; Urbach, C.Extern*

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-02523

Report No.: DESY-25-118; arXiv:2404.17545

Abstract: In this paper, we examine a compact $U(1)$ lattice gauge theory in $(2+1)$ dimensions and present a strategy for studying the running coupling and extracting the non-perturbative $Λ$-parameter. To this end, we combine Monte Carlo simulations and quantum computing, where the former can be used to determine the numerical value of the lattice spacing $a$, and the latter allows for reaching the perturbative regime at very small values of the bare coupling and, correspondingly, small values of $a$. The methodology involves a series of sequential steps (i.e., the step scaling function) to bridge results from small lattice spacings to non-perturbative large-scale lattice calculations. Focusing on the pure gauge case, we demonstrate that these quantum circuits, adapted to gauge degrees of freedom, are able to capture the relevant physics by studying the expectation value of the plaquette operator, for matching with corresponding Monte Carlo simulations. We also present results for the static potential and static force, which can be related to the renormalized coupling. The procedure outlined in this work can be extended to Abelian and non-Abelian lattice gauge theories with matter fields and might provide a way towards studying lattice quantum chromodynamics utilizing both quantum and classical methods.

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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. QUEST - QUantum computing for Excellence in Science and Technology (101087126) (101087126)
3. DFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970) (511713970)
4. DFG project G:(GEPRIS)390534769 - EXC 2004: Materie und Licht für Quanteninformation (ML4Q) (390534769) (390534769)
5. PASQuanS2.1 - Programmable Atomic Large-scale Quantum Simulation 2 - SGA1 (101113690) (101113690)
6. NeQST - NExt level Quantum information processing for Science and Technology (101080086) (101080086)
7. JUNIOR LEADER - Junior Leader la Caixa Postdoctoral Fellowship Programme: Shaping the new generation of leaders in research (847648) (847648)

Experiment(s):

1. No specific instrument

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Crippa, A. (Corresponding author)DESY* ; Romiti, S. (Corresponding author)Extern* ; Funcke, L. ; Jansen, K.DESY* ; Kuehn, S.DESY* ; Stornati, P. ; Urbach, C.Extern*
Towards determining the (2+1)-dimensional Quantum Electrodynamics running coupling with Monte Carlo and quantum computing methods
Communications Physics 8(1), 367 (2024) [10.1038/s42005-025-02243-6]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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