2005/08/02 by M. N. Chernodub, Katsuya Ishiguro, Yoshihiro Mori +6 · 52 citations
Engineering · Physics and Astronomy · #Coherence length #Condensed matter physics #Gauge theory #Landau quantization #London penetration depth #Magnetic field #Magnetic monopole #Meissner effect #Penetration depth #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Superconducting Materials and Applications #Superconductivity #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.72.074505
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 72(7) (American Physical Society) · 13 pages, 22 figures, RevTeX 4 style
arxiv created 2005/08/02 · openalex publication_date 2005/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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+A^\ensuremath-(s) and the monopole density has a strong correlation as suggested theoretically. Such a correlation is observed also between the monopole density and A2(s)=A+A^\ensuremath-(s)+A3A3(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+A^\ensuremath-(s) and A2(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 A2(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.