Gauge Problem of Monopole Dynamics in SU(2) Lattice Gauge Theory

Details Gauge Problem of Monopole Dynamics in SU(2) Lattice Gauge Theory Gauge Problem of Monopole Dynamics in SU(2) Lattice Gauge Theory

2002-08-26

arxiv.org/abs/hep-lat/0208049v2

Phys.Rev. D67 (2003) 074504

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 23 figures, uses JHEP3.cls, latexsym.sty and epsfig.sty. Revised version

Scientific paper

10.1103/PhysRevD.67.074504

Gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first abelian and monopole contributions to the static potential in four smooth gauges, i.e., Laplacian Abelian (LA), Maximally Abelian Wilson Loop (MAWL) and L-type gauges in comparison with Maximally Abelian (MA) gauge. They all reproduce the string tension in good agreement with the SU(2) string tension. MA gauge is not the only choice of the good gauge which is suitable for the color confinement mechanism. Using an inverse Monte-Carlo method and the blockspin transformation, we determine effective monopole actions and the renormalization group (RG) flows of its coupling constants in various abelian projection schemes. Every RG flow looks to converge to a unique curve which suggests gauge independence in the infrared region.

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