Vortex critical behavior at the de-confinement phase transition

Abstract

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.

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

References in corpus (1)

• Important experimental observables at RHIC

Cited by in corpus (11)

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• Center vortices and the quark propagator in SU(2) gauge theory
• Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom
• Percolation of Vortices in the 3D Abelian Lattice Higgs Model
• Probing the ground state in gauge theories
• Fermi-Einstein condensation in dense QCD-like theories
• Center flux correlation in SU(2) Yang-Mills theory
• From confinement to new states of dense QCD matter