Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string
  tension from magnetic monopoles   In this paper we begin on a new lattice formulation of the non-linear change
of variables called the Cho--Faddeev--Niemi decomposition in SU(2) Yang-Mills
theory. This is a compact lattice formulation improving the non-compact lattice
formulation proposed in our previous paper. Based on this formulation, we
propose a new gauge-invariant definition of the magnetic monopole current which
guarantees the magnetic charge quantization and reproduces the conventional
magnetic-current density obtained in the Abelian projection based on the
DeGrand--Toussaint method. Finally, we demonstrate the magnetic monopole
dominance in the string tension in SU(2) Yang-Mills theory on a lattice. Our
formulation enables one to reproduce in the gauge-invariant way remarkable
results obtained so far only in the Maximally Abelian gauge.

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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
19
The categories of this paper are: eess
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int