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Investigating Yang-Mills theory and Confinement as a function of the spatial volume

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arxiv hep-lat/9507001 v1 pith:NBXLZALX submitted 1995-07-04 hep-lat

A. Gonzalez-Arroyo , P. Martinez This is my paper · ORCID
classification hep-lat
keywords confinementtheoryvolumebasisboundarycausedclassconditions
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We study the volume dependence of electric flux energies for SU(2) gauge theory with twisted boundary conditions. The curves interpolate smoothly between the perturbative semiclassicalresults and the Confinement regime. On the basis of our results, we propose that the Confinement property might be caused by a class of non-dilute multi-instanton configurations.

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Cited by 5 Pith papers

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

  1. The Nahm transform of multi-fractional instantons

    hep-th 2024-11 conditional novelty 7.0 of 10

    A fractional SU(N) instanton of charge r/N, embedded with U(1) fluxes, has a Nahm dual that is an SU(Nhat) fractional instanton of charge r/Nhat, with Nhat = N q1 q3 - r q3 + q1.

  2. D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The local moduli space of self-dual fractional instantons (Q = r/N) on a twisted four-torus is the Higgs branch of an N=2 supersymmetric theory, obtained via wrapped intersecting D-brane configurations.

  3. A $T_2 \times R^2$ roadmap to Confinement in SU(2) Yang-Mills theory

    hep-lat 2025-05 conditional novelty 6.0 of 10

    Lattice simulations show that on T2 x R2 with twisted boundary conditions, the SU(2) vacuum is a Poissonian 2D gas of fractional instantons, with string tension proportional to the gas density and approaching the infi...

  4. 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...

  5. Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Numerical lattice study shows fractional instantons on twisted T^4 morph into monopole-instantons and center vortices as geometry interpolates between R^{4-k} x T^k, with some transitions discontinuous under deformation.

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