Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-06-18
Phys.Lett.B653:101-108,2007
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages 5 figures,[v2]explanations added and improved, a reference added
Scientific paper
10.1016/j.physletb.2007.07.042
This paper complements a new lattice formulation of SU(2) Yang-Mills theory written in terms of new variables in a compact form proposed in the previous paper. The new variables used in the formulation were once called the Cho--Faddeev--Niemi or Cho--Faddeev--Niemi--Shabanov decomposition. Our formulation enables us to explain the infrared ``Abelian'' dominance, in addition to magnetic monopole dominance shown in the previous paper, in the gauge invariant way without relying on the specific gauge fixing called the maximal Abelian gauge used in the conventional investigations. In this paper, especially, we demonstrate by numerical simulations that gluon degrees of freedom other than the ``Abelian'' part acquire the mass to be decoupled in the low-energy region leading to the infrared Abelian dominance.
Ito Setsuko
Kato Shoji
Kondo Kei-Ichi
Murakami Tadayoshi
Shibata Akihiro
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