Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-12-05
Physics
High Energy Physics
High Energy Physics - Lattice
PhD Thesis, 129 pages, 54 figures, 17 tables
Scientific paper
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 critical exponents and universality of the critical indices. Because of that, percolation theory seems to be an ideal framework to devise a geometrical picture of a second order phase transition; the leading characters of the phenomenon are ordered domains, whose size increases while approaching the threshold until they fuse into a spanning structure, so that the order from local becomes global. Such a geometrical picture is known to be successful in the Ising model. The clusters are site-bond clusters, i.e. they are built by joining nearest-neighbouring aligned spins with some temperature-dependent bond probability. In this work we extend this result to a wide variety of theories, from continuous Ising-like models to O(n) models. On the grounds of these results, we devise a percolation picture for the confining phase transition of SU(2) pure gauge theory, exploiting its analogies with the Ising model. The cluster definition is obtained by constructing suitable effective theories for SU(2), which admit an equivalent percolation formulation.
Fortunato Santo
No associations
LandOfFree
Percolation and Deconfinement in SU(2) Gauge Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Percolation and Deconfinement in SU(2) Gauge Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Percolation and Deconfinement in SU(2) Gauge Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-30918