Universality check of Abelian monopoles

Journal Article · Thu Sep 01 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.054511· OSTI ID:20711470

Bornyakov, V G ^[1]; Ilgenfritz, E -M; Mueller-Preussker, M ^[2]

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1. Institute for High Energy Physics, Protvino 142281 (Russian Federation)
2. Humboldt-Universitaet zu Berlin, Institut fuer Physik, D-12489 Berlin (Germany)

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.

• OSTI ID: 20711470
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
CONVERGENCE
DENSITY
FEYNMAN DIAGRAM
GAUGE INVARIANCE
LAPLACIAN
LATTICE FIELD THEORY
MONOPOLES
QUANTUM CHROMODYNAMICS
SU-2 GROUPS