• Quark confinement in 2+1 dimensional pure Yang-Mills theory

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      https://www.ias.ac.in/article/fulltext/pram/049/01/0071-0080

    • Keywords

       

      Quark; confinement; instanton; disorder

    • Abstract

       

      We report some progress on the quark confinement problem in 2 + 1 dim. pure Yang-Mills theory, using Euclidean instanton methods. The instantons are regularized Wu-Yang ‘monopoles’, whose long range Coulomb field is screened by collective effects. Such configurations are stable to small perturbations unlike the case of singular, undressed monopoles. Using exact non-perturbative results for the 3-dim. Coulomb gas, where Debye screening holds for arbitrarily low temperatures, we show in a self-consistent way that a mass gap is dynamically generated in the gauge theory. The mass gap also determines the size of the monopoles. We also identify the disorder operator of the model in terms of the Sine-Gordon field of the Coulomb gas and hence obtain a dual representation whose symmetry is the centre ofSU(2).

    • Author Affiliations

       

      Spenta R Wadia1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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