English

Abelian monopoles of the Dirac type and color confinement in QCD

High Energy Physics - Lattice 2021-12-07 v1

Abstract

We present results of SU(3)SU(3) Monte-Carlo studies of a new color confinement scheme due to Abelian-like monopoles of the Dirac type without any gauge-fixing. We get (1) perfect Abelian dominance with respect to the static potentials on 12416412^4\sim 16^4 lattice at β=5.65.8\beta=5.6-5.8 using the multilevel method, (2) monopole as well as Abelian dominances with respect to the static potentials by evaluating Polyakov loop correlators on 243×424^3\times4 lattice at β=5.6\beta=5.6. (3) Abelian dual Meissner effects are studied directly by measuring Abelian color fields and monopole currents around the static source. The vacuum in pure SU(3)SU(3) seems to be of the type 1 near the border between both types, although scaling is not studied yet.

Keywords

Cite

@article{arxiv.2112.02127,
  title  = {Abelian monopoles of the Dirac type and color confinement in QCD},
  author = {Tsuneo Suzuki and Atsuki Hiraguchi and Katsuya Ishiguro},
  journal= {arXiv preprint arXiv:2112.02127},
  year   = {2021}
}

Comments

10 pages, 4 figures, talk given at XXXIII International (ONLINE) Workshop on High Energy Physics "Hard Problems of Hadron Physics: Non-Perturbative QCD & Related Quests" November 8-12, 2021, Submission to SciPost. arXiv admin note: substantial text overlap with arXiv:2110.14702