Vacuum type of SU2 gluodynamics in maximally Abelian and Landau gaugesReport as inadecuate



 Vacuum type of SU2 gluodynamics in maximally Abelian and Landau gauges


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The vacuum type of SU2 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^-s and the monopole density has a strong correlation as suggested theoretically. Such a correlation is observed also between the monopole density and A^2s= A^+A^-s + A^3A^3s condensate if the remaining U1 gauge degree of freedom is fixed to U1 Landau gauge U1LA. The coherence length is determined numerically also from correlations between Wilson loops and A^+A^-s and A^2s 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^2s. 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.



Author: M. N. Chernodub; Katsuya Ishiguro; Yoshihiro Mori; Yoshifumi Nakamura; M. I. Polikarpov; Toru Sekido; Tsuneo Suzuki; V. I. Zakharov

Source: https://archive.org/



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