Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-05-22
JHEP0006:041,2000
Physics
High Energy Physics
High Energy Physics - Lattice
17 pages, 5 figures, latex2e
Scientific paper
10.1088/1126-6708/2000/06/041
Starting from the strong-coupling SU(2) Wilson action in D=3 dimensions, we derive an effective, semi-local action on a lattice of spacing L times the spacing of the original lattice. It is shown that beyond the adjoint color-screening distance, i.e. for $L \ge 5$, thin center vortices are stable saddlepoints of the corresponding effective action. Since the entropy of these stable objects exceeds their energy, center vortices percolate throughout the lattice, and confine color charge in half-integer representations of the SU(2) gauge group. This result contradicts the folklore that confinement in strong-coupling lattice gauge theory, for D>2 dimensions, is simply due to plaquette disorder, as is the case in D=2 dimensions. It also demonstrates explicitly how the emergence and stability of center vortices is related to the existence of color screening by gluon fields.
Faber Manfried
Greensite Jeff
Olejnik Stefan
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