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Decomposition of the SU(2) gauge field in the Maximal Abelian gauge

2021/01/20 by V. G. Bornyakov, I. Kudrov, R. N. Rogalyov
Physics and Astronomy · #hep-lat

paper · pdf · doi:10.1103/physrevd.105.054519

6 pages, 10 figures (one figure added). arXiv admin note: text overlap with arXiv:hep-lat/0512003

arxiv created 2021/01/20 · arxiv updated 2022/04/13

Abstract

We study decomposition of SU(2) gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by monopoles and the modified nonabelian field with monopoles removed. We then calculate respective static potentialis and show that the potential due to the modified nonabelian field is nonconfining while, as is well known, the Abelian field produces linear potential. We further find that the sum of these potentials approximates the nonabelian static potential with good precision at all distances considered. We conclude that at large distances the monopole field potential describes the classical energy of the hadronic string while the static potential due to the modified nonabelian field describes the string fluctuations energy.

Citations