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Critical Behaviour in Statistical QCD
Helmut Satz
We survey the critical behaviour of strongly interacting matter, as determined in finite temperature lattice QCD.
Cluster Percolation and Thermal Critical Behaviour
H. Satz
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 co…
Cluster Percolation and Explicit Symmetry Breaking in Spin Models
Santo Fortunato, Helmut Satz
Many features of spin models can be interpreted in geometrical terms by means of the properties of well defined clusters of spins. In case of spontaneous symmetry breaking, the pha…
Cluster Percolation and Pseudocritical Behaviour in Spin Models
Santo Fortunato, Helmut Satz
The critical behaviour of many spin models can be equivalently formulated as percolation of specific site-bond clusters. In the presence of an external magnetic field, such cluster…
Percolation and Deconfinement in SU(2) Gauge Theory
S. Fortunato
Cluster percolation and second order thermal phase transitions show an amazing number of common features: power laws of the variables at criticality, scaling relations of the criti…
Effective Z(2) Spin Models of Deconfinement and Percolation in SU(2) Gauge Theory
S. Fortunato, F. Karsch, P. Petreczky +1
Effective theories are helpful tools to gain an intuitive insight into phenomena governed by complex laws. In this work we show by means of Monte Carlo simulations that Z(2) spin m…
Deconfinement Through Chiral Transition In 2 Flavour QCD
S. Digal, E. Laermann, H. Satz
We propose that in QCD with dynamical quarks, colour deconfinement occurs when an external field induced by the chiral condensate strongly aligns the Polyakov loop. This effect set…
Percolation and Critical Behaviour in SU(2) Gauge Theory
S. Fortunato, F. Karsch, P. Petreczky +1
The paramagnetic-ferromagnetic transition in the Ising model can be described as percolation of suitably defined clusters. We have tried to extend such picture to the confinement-d…
Percolation and Deconfinement in SU(2) Gauge Theory
Santo Fortunato, Helmut Satz
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 mo…
Cluster Percolation in O(n) Spin Models
P. Blanchard, S. Digal, S. Fortunato +3
The spontaneous symmetry breaking in the Ising model can be equivalently described in terms of percolation of Wolff clusters. In O(n) spin models similar clusters can be built in a…
Percolation and Magnetization for Generalized Continuous Spin Models
S. Fortunato, H. Satz
For the Ising model, the spin magnetization transition is equivalent to the percolation transition of Fortuin-Kasteleyn clusters; this result remains valid also for the conventiona…
Percolation and Magnetization in the Continuous Spin Ising Model
Piotr Bialas, Philippe Blanchard, Santo Fortunato +2
In the strong coupling limit the partition function of SU(2) gauge theory can be reduced to that of the continuous spin Ising model with nearest neighbour pair-interactions. The ra…
Polyakov Loop Percolation and Deconfinement in SU(2) Gauge Theory
Santo Fortunato, Helmut Satz
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 mo…
Percolation and Deconfinement in SU(2) Gauge Theory
S. Fortunato, H. Satz
We show that deconfinement in SU(2) gauge theory can be described by the percolation of site-bond clusters of like-sign Polyakov loops. In particular, we find that in 2+1 dimension…