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Instanton-like Contributions to the Dynamics of Yang-Mills Fields on the Twisted Torus

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arxiv hep-lat/9302007 v1 pith:2F7GOV5X submitted 1993-02-19 hep-lat

The RTN Collaboration , Garcia Perez , Gonzalez-Arroyo , Martinez , Fernandez , Munoz Sudupe , Ruiz-Lorenzo , Azcoiti
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Campos Ciria Cruz Iniguez Lesmes Piedrafita Rivero Tarancon Tellez Badoni Pech
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abstract

We study $SU(2)$ lattice gauge theory in small volumes and with twist $\vec{m}=(1,1,1)$. We investigate the presence of the periodic instantons of $Q=\frac{1}{2}$ and determine their free energy and their contribution to the splitting of energy flux sectors \mbox{$E(\vec{e}=(1,1,1))-E(\vec{e}=(0,0,0)) $.}

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Cited by 2 Pith papers

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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...

  2. 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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