Non-Abelian dual Meissner effect as color alignment in SU(2) lattice gauge theory
Kurt Langfeld, Alexandra Schäfke
DOI 10.1103/PhysRevD.61.114506 · Physical Review D
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Abstract
A new gauge (m gauge) condition is proposed by means of a generalization of the maximal Abelian gauge (MAG). The new gauge admits a space-time dependent embedding of the residual U(1) into the SU(2) gauge group. This embedding is characterized by a color vector m→(x). It turns out that this vector only depends on gauge invariant parts of the link configurations. Our numerical results show color ferromagnetic correlations of the m→(x) field in space-time. The correlation length scales towards the continuum limit. For comparison with the MAG, we introduce a class of gauges which smoothly interpolates between the MAG and the m gauge. For a wide range of the gauge parameter, the vacuum decomposes into regions of aligned vectors m→. The “neutral particle problem” of MAG is addressed in the context of the new gauge class.
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