ep - l at / 0 00 70 35 v 3 1 3 O ct 2 00 0 Cluster Percolation in O ( n ) Spin Models

ep - l at / 0 00 70 35 v 4 1 4 O ct 2 00 0 Cluster Percolation in O ( n ) Spin Models

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 general way, and they are currently used to update these systems in Monte Carlo simulations. We show that for 3-dimensional O(2), O(3) and O(4) such clusters are indeed the physical 'islands' of the systems, i.e., th...

ar X iv : h ep - p h / 00 10 35 2 v 1 3 1 O ct 2 00 0 1 Q 2 evolution of parton distributions at small x

We investigate the Q 2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The results are in excellent agreement with deep inelastic scattering experimental data from HERA.

ar X iv : h ep - l at / 0 11 00 06 v 2 3 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : h ep - l at / 0 01 00 97 v 1 3 1 O ct 2 00 0 1 Superconductivity with the Meron - Cluster Algorithm

The meron-cluster algorithm was previously used to extensively study the physics associated with the spontaneous breaking of a discrete symmetry. We recently discovered that a larger class of models with spontaneous breaking of continuous symmetries can also be simulated using the meron-cluster algorithm. Here we study one of these new models which belongs to the attractive Hubbard model family...

ar X iv : h ep - l at / 0 00 70 12 v 2 1 2 Ju l 2 00 0 1 Percolation and Deconfinement in SU ( 2 ) Gauge Theory

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...