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Numerical study of Yang-Mills classical solutions on the twisted torus

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arxiv hep-lat/9206016 v2 pith:TNEOJVTP submitted 1992-06-17 hep-lat

M. Garcia Perez , A. Gonzalez-Arroyo This is my paper · ORCID
classification hep-lat
keywords classicalsolutionstorustwistedyang-millsboundaryconditionscooling
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We use the lattice cooling method to investigate the structure of some gauge fixed SU(2) Yang-Mills classical solutions of the euclidean equations of motion which are defined in the 3-torus with symmetric twisted boundary conditions.

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Cited by 3 Pith papers

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

  1. Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Proposes torus and lens-space twisted partition functions as criteria for center-vortex and monopole condensation and proves vortex condensation implies monopole condensation in gapped phases.

  2. 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.

  3. Fractional instantons and Confinement: first results on a $T_2\times R^2$ roadmap

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Monte Carlo data on a T2 x R2 geometry show that the SU(2) vacuum at small torus sizes is described by a gas of vortex-like fractional instantons, with string tension proportional to their density and a saturated near...

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