Polyakov loop percolation and deconfinement in SU(2) gauge theory

Fortunato, Santo; Satz, Helmut

doi:10.1016/S0370-2693(00)00091-5

Polyakov loop percolation and deconfinement in SU(2) gauge theory

Santo Fortunato
(
- Bielefeld U.
)
,
Helmut Satz
(
- Bielefeld U.
)

Nov, 1999

6 pages

Published in:

Phys.Lett.B 475 (2000) 311-314

e-Print:

hep-lat/9911020 [hep-lat]

DOI:

10.1016/S0370-2693(00)00091-5

Report number:

BI-TP-99-42

View in:

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Abstract: (Elsevier)

The deconfinement transition in SU (2) gauge theory and the magnetization transition in the Ising model belong to the same universality class. The critical behaviour of the Ising model can be characterized either as spontaneous breaking of the Z 2 symmetry of spin states or as percolation of appropriately defined spin clusters. We show that deconfinement in SU (2) gauge theory can be specified as percolation of Polyakov loop clusters with Fortuin-Kasteleyn bond weights, leading to the same (Onsager) critical exponents as the conventional order-disorder description based on the Polykov loop expectation value.

Note:

revised version

gauge field theory: SU(2)
lattice field theory
Polyakov loop: percolation
confinement
critical phenomena
Ising model
numerical calculations: Monte Carlo

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