2005/07/18 by V. G. Bornyakov, E.‐M. Ilgenfritz, E. -M. Ilgenfritz +2 · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Magnetic monopole #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Universality (dynamical systems) #hep-lat
paper · pdf · doi:10.1103/physrevd.72.054511
published as Phys.Rev. D72 (2005) 054511 · 18 pages, 11 figures
arxiv created 2005/07/18 · openalex publication_date 2005/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the Abelian projected SU(2) lattice gauge theory after gauge fixing to the maximally Abelian gauge (MAG). In order to check the universality of the Abelian dominance we employ the tadpole improved (TI) tree level action. We show that the density of monopoles in the largest cluster (the IR component) is finite in the continuum limit which is approximated already at relatively large lattice spacing. The value itself is smaller than in the case of Wilson action. We present results for the ratio of the Abelian to non-Abelian string tension for both Wilson and TI actions for a number of lattice spacings in the range 0.06 fm<a<0.35 fm. These results show that the ratio is between 0.90 and 0.95 for all considered values of lattice couplings and both actions. We compare the properties of the monopole clusters in two gauges---in MAG and in the Laplacian Abelian gauge (LAG). Whereas in MAG the infrared component of the monopole density shows a good convergence to the continuum limit, we find that in LAG it is even not clear whether a finite limit exists.