Journal Article

PUBDB-2025-03701

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* ; Kuehn, S.DESY* ; Stornati, P. ; Urbach, C.Extern*

2024
Springer Nature London

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Please use a persistent id in citations: doi:10.1038/s42005-025-02243-6  doi:10.3204/PUBDB-2025-03701

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

Abstract: The solution of strongly-interacting quantum field theories remains a major challenge in theoretical physics, often requiring numerical solutions. A first-principles approach in this direction is the lattice formulation, where spacetime is approximated with a finite grid. In this work, we examine the case of a compact pure-gauge U(1) lattice gauge theory in (2 + 1) dimensions, presenting a strategy to determine the running coupling of the theory and extracting the non-perturbative Λ-parameter. This is achieved by combining Monte Carlo simulations and quantum computing techniques, matching the expectation value of the plaquette operator. We also present results for the static potential and static force, which can be related to the renormalized coupling. The outlined procedure can be extended to other 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. DFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970) (511713970)
3. DFG project G:(GEPRIS)390534769 - EXC 2004: Materie und Licht für Quanteninformation (ML4Q) (390534769) (390534769)
4. PASQuanS2.1 - Programmable Atomic Large-scale Quantum Simulation 2 - SGA1 (101113690) (101113690)
5. OPTOlogic - Optical Topologic Logic (899794) (899794)
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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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Crippa, A. (Corresponding author)DESY* ; Romiti, S. (Corresponding author)Extern* ; Funcke, L. ; Jansen, K.DESY* ; Kühn, S.DESY* ; Stornati, P. ; Urbach, C.Extern*
Towards determining the (2+1)-dimensional Quantum Electrodynamics running coupling with Monte Carlo and quantum computing methods
[10.3204/PUBDB-2025-02523]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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