Vortex critical behavior at the de-confinement phase transition

Details Vortex critical behavior at the de-confinement phase transition Vortex critical behavior at the de-confinement phase transition

2003-04-16

arxiv.org/abs/hep-lat/0304012v2

Phys.Rev. D67 (2003) 111501

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 4 PS figures, using revtex4, paragraph and refs added, typo corrected

Scientific paper

10.1103/PhysRevD.67.111501

The de-confinement phase transition in SU(2) Yang-Mills theory is revisited in the vortex picture. Defining the world sheets of the confining vortices by maximal center projection, the percolation properties of the vortex lines in the hypercube consisting of the time axis and two spatial axis are studied. Using the percolation cumulant, the temperature for the percolation transition is seen to be in good agreement with the critical temperature of the thermal transition. The finite size scaling function for the cumulant is obtained. The critical index of the finite size scaling function is consistent with the index of the 3D Ising model.

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