Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges

Journal Article · Sat Oct 01 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.074505· OSTI ID:20713657

Chernodub, M N; Polikarpov, M I ^[1]; Ishiguro, Katsuya; Mori, Yoshihiro; Nakamura, Yoshifumi; Sekido, Toru; Suzuki, Tsuneo ^[2]; Zakharov, V I ^[3]

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1. Institute of Theoretical and Experimental Physics ITEP, 117259 Moscow (Russian Federation)
2. Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192 (Japan)
3. Max-Planck Institut fuer Physik, Foehringer Ring 6, 80805, Munich (Germany)

The vacuum type of SU(2) gluodynamics is studied using Monte Carlo simulations in maximally Abelian (MA) gauge and in Landau (LA) gauge, where the dual Meissner effect is observed to work. The dual Meissner effect is characterized by the coherence and the penetration lengths. Correlations between Wilson loops and electric fields are evaluated in order to measure the penetration length in both gauges. The coherence length is shown to be fixed in the MA gauge from measurements of the monopole density around the static quark-antiquark pair. It is also shown numerically that a dimension 2 gluon operator A{sup +}A{sup -}(s) and the monopole density has a strong correlation as suggested theoretically. Such a correlation is observed also between the monopole density and A{sup 2}(s)=A{sup +}A{sup -}(s)+A{sup 3}A{sup 3}(s) condensate if the remaining U(1) gauge degree of freedom is fixed to U(1) Landau gauge (U1LA). The coherence length is determined numerically also from correlations between Wilson loops and A{sup +}A{sup -}(s) and A{sup 2}(s) in MA+U1LA gauge. Assuming that the same physics works in the LA gauge, we determine the coherence length from correlations between Wilson loops and A{sup 2}(s). Penetration lengths and coherence lengths in the two gauges are almost the same. The vacuum type of the confinement phase in both gauges is near to the border between the type 1 and the type 2 dual superconductors.

• OSTI ID: 20713657
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
COHERENCE LENGTH
COMPUTERIZED SIMULATION
CORRELATIONS
DEGREES OF FREEDOM
DENSITY
ELECTRIC FIELDS
GLUONS
MAGNETIC MONOPOLES
MONTE CARLO METHOD
PENETRATION DEPTH
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
SU-2 GROUPS
SUPERCONDUCTORS
UNITARY SYMMETRY
WILSON LOOP