The non-Abelian dual Meissner effect as color-alignment in SU(2) lattice gauge theory

Details The non-Abelian dual Meissner effect as color-alignment in SU(2) lattice gauge theory The non-Abelian dual Meissner effect as color-alignment in SU(2) lattice gauge theory

1999-12-22

arxiv.org/abs/hep-lat/9912045v1

Phys.Rev. D61 (2000) 114506

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 6 figures, LaTeX using epsf

Scientific paper

10.1103/PhysRevD.61.114506

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 $\vec{m}(x)$. It turns out that this vector only depends of gauge invariant parts of the link configurations. Our numerical results show color ferromagnetic correlations of the $\vec{m}(x)$ 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 $\vec{m}$. The ''neutral particle problem'' of MAG is addressed in the context of the new gauge class.

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