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High Energy Physics - Lattice

arXiv:2411.11593 (hep-lat)
[Submitted on 18 Nov 2024]

Title:Topology in 2D non-Abelian Lattice Gauge Theories

Authors:Stephan Durr, Philip Rouenhoff
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Abstract:In two dimensions, $U(N_c)$ gauge theories exhibit a non-trivial topological structure, while $SU(N_c)$ theories are topologically trivial. Hence, for $G = U(N_c)$ the phase space is divided into topological sectors, characterized by a topological index (a.k.a. ``topological charge''). These sectors are separated by action barriers, which diverge if the lattice spacing is taken small, resulting in an algorithmic problem known as ``topological freezing''. We study these theories in various box sizes and at various couplings. With the help of gradient flow we derive instanton-like solutions for 2D $U(N_c)$ theory with a specific focus on the case of $N_c = 2$.
Comments: 8 pages, 7 figures, 1 table. Proceedings of the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August, 2024 Liverpool, UK
Subjects: High Energy Physics - Lattice (hep-lat)
Cite as: arXiv:2411.11593 [hep-lat]
  (or arXiv:2411.11593v1 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.2411.11593

Submission history

From: Philip Rouenhoff [view email]
[v1] Mon, 18 Nov 2024 14:13:07 UTC (1,149 KB)
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