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^-(s) and the monopole density has a strong correlation as suggested theoretically. Such a correlation is observed also between the monopole density and A^2(s)= A^+A^-(s) + A^3A^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^+A^-(s) and A^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^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.
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机译：在最大阿贝尔（MA）规和兰道（LA）规中，使用蒙特卡洛模拟研究了SU（2）微观动力学的真空类型，其中观察到双重迈斯纳效应起作用。双重迈斯纳效应的特征是相干和穿透长度。评估了威尔逊环和电场之间的相关性，以便在两个量规中测量穿透长度。通过测量静夸克-反夸克对周围的单极密度，可以证明相干长度在MA规中是固定的。从数值上还表明，如理论上所建议的，维数为2的胶子算子A ^ + A ^-（s）与单极子密度具有很强的相关性。如果固定了剩余的U（1）标度自由度，则在单极子密度与A ^ 2（s）= A ^ + A ^-（s）+ A ^ 3A ^ 3（s）冷凝物之间也观察到这种相关性。到U（1）Landau仪表（U1LA）。相干长度还通过威尔逊环与MA + U1LA规中的A ^ + A ^-（s）和A ^ 2（s）之间的相关性从数值上确定。假设相同的物理原理在LA规范中起作用，我们根据Wilson环与A ^ 2（s）之间的相关性确定相干长度。两个量规的穿透长度和相干长度几乎相同。在两个量规中，限制阶段的真空类型都接近类型1和类型2双超导体之间的边界。
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