Tue·Jul 30, 2002Tuesday·July 30, 2002

1. 01*

   String Breaking and Monopoles: a Case Study in the 3D Abelian Higgs Model

   M.N. Chernodub🇷🇺 · E.-M. Ilgenfritz🇯🇵 · A. Schiller🇩🇪

   We study the breaking of the string spanned between test charges in the three dimensional Abelian Higgs model with compact gauge field and fundamentally charged Higgs field at zero temperature. In agreement with current expectations we demonstrate that string breaking is associated with pairing of monopoles. However, the string breaking is not accompanied by an ordinary phase transition.

   hep-latcond-mathep-phPLB(2002)·29 citations
2. 02*

   Cluster Percolation and Critical Behaviour in Spin Models and SU(N) Gauge Theories

   Santo Fortunato (University of Bielefeld)🇩🇪

   The critical behaviour of several spin models can be simply described as percolation of some suitably defined clusters, or droplets: the onset of the geometrical transition coincides with the critical point and the percolation exponents are equal to the thermal exponents. It is still unknown whether, given a model, one can define at all the droplets. In the cases where this is possible, the droplet definition depends in general on the specific model at study and can be quite involved. We propose here a simple general definition for the droplets: they are clusters obtained by joining nearest-neighbour spins of the same sign with some bond probability p_B, which is the minimal probability that still allows the existence of a percolating cluster at the critical temperature T_c. By means of lattice Monte Carlo simulations we find that this definition indeed satisfies the conditions required for the droplets, for many classical spin models, discrete and continuous, both in two and in three dimensions. In particular, our prescription allows to describe exactly the confinement-deconfinement transition of SU(N) gauge theories as Polyakov loop percolation.

   hep-latcond-mathep-thJ.Phys.A(2003)·17 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.