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From Perturbation Theory to Confinement: How the String Tension is built up

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arxiv hep-lat/9312066 v1 pith:HZ3RBLRY submitted 1993-12-16 hep-lat

classification hep-lat
keywords confinementresultstringtensionvolumealreadyapproachboundary
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abstract

We study the spatial volume dependence of electric flux energies for SU(2) Yang-Mills fields on the torus with twisted boundary conditions. The results approach smoothly the rotational invariant Confinement regime. The would-be string tension is very close to the infinite volume result already for volumes of $(1.2 \ {\rm fm.})^3$. We speculate on the consequences of our result for the Confinement mechanism.

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  1. 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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