Cluster percolation and thermal critical behavior
Sep, 20018 pages
Published in:
- Comput.Phys.Commun. 147 (2002) 46-51
Contribution to:
e-Print:
- hep-lat/0110013 [hep-lat]
Report number:
- BI-TP-2001-20
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Citations per year
Abstract:
Continuous phase transitions in spin systems can be formulated as percolation of suitably defined clusters. We review this equivalence and then discuss how in a similar way, the color deconfinement transition in SU(2) gauge theory can be treated as a percolation phenomenon. In the presence of an external field, spin systems cease to show thermal critical behavior, but the geometric percolation transition persists (Kert\'esz line). For , we study the relation between percolation and pseudocritical behavior, both for continuous and first order transitions, and show that it leads to the necessity of an -dependent cluster definition. A viable formulation of this kind could serve as definition of deconfinement in QCD with dynamical quarks.Note:
- 8 pages, 4 figures Report-no: BI-TP 2001/20
- talk: Aachen 2001/09/05
- model: spin
- critical phenomena
- cluster: percolation
- gauge field theory: SU(2)
- confinement
- finite temperature
- numerical calculations
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