Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop

Details Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop

2000-04-06

arxiv.org/abs/hep-ph/0004052v2

Phys.Rev. D62 (2000) 096008

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, discussion of the Wilson loop at high temperature completely revised, new references added

Scientific paper

10.1103/PhysRevD.62.096008

We discuss the relation between the deconfining phase transition in gauge theories and the realization of the magnetic Z(N) symmetry. At low temperature the Z(N) symmetry is spontaneously broken while above the phase transition it is restored. This is intimately related to the change of behaviour of the spatial 't Hooft loop discussed in hep-ph/9909516. We also point out that the realization of the magnetic symmetry has bearing on the behaviour of the spatial Wilson loop. We give a physical argument to the effect that at zero temperature the spatial Wilson loop must have perimeter law behaviour in the symmetric phase but area law behaviour in the spontaneously broken phase. At high temperature the argument does not hold and the restoration of magnetic Z(N) is consistent with area law for the Wilson loop.

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