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Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism

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arxiv 2405.12402 v2 pith:SF5CRZ7Z submitted 2024-05-20 hep-th

Yui Hayashi , Yuya Tanizaki This is my paper
classification hep-th
keywords mechanismmonopolecenterconfinementvortexdescriptionsmathbbsemiclassical
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Magnetic excitations play a crucial role in understanding the color confinement of $4$d Yang-Mills theory, and we have the monopole and the center vortex as plausible candidates to explain its mechanism. Under suitable compactified setups of $4$d Yang-Mills theory, we can achieve different weakly-coupled descriptions of confinement phenomena: The monopole mechanism takes place on $\mathbb{R}^3\times S^1$ with the double-trace deformation, and the center-vortex mechanism is effective on $\mathbb{R}^2\times T^2$ with the 't Hooft flux. We unify these two semiclassical descriptions by showing the explicit relation between the monopole and center vortex.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists

    hep-th 2025-07 conditional novelty 7.0 of 10

    Explicit theta-function solutions for fractional BPS lumps on a twisted torus are constructed, and the moduli space is a CP^(Nk+p-1) fiber bundle over a small torus, matching the index theorem.

  2. Self-dual monopole loops, instantons and confinement

    hep-th 2025-09 conditional novelty 6.0 of 10

    Interactions among self-dual monopole-like constituents of instantons remove the infrared divergence and, the authors conjecture, drive confinement in 4d Yang-Mills.

  3. Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity

    hep-th 2025-09 conditional novelty 5.0 of 10

    Constructs AKSZ sandwich SymTFTs with stacky target spaces that encode the center symmetries of Chern-Simons, Yang-Mills, and MacDowell-Mansouri gravity.

  4. Landau theory for lattice higher gauge theory and Kramers-Wannier duality

    hep-th 2025-07 conditional novelty 5.0 of 10

    Lattice higher gauge theories are rewritten as Landau field theories on closed surfaces, yielding a unified phase description and an infrared duality between higher-form Landau theories.

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