Tue·Dec 4, 2001Tuesday·December 4, 2001

1. 01*

   Antisymmetric and other subleading corrections to scaling in the local potential approximation

   M.M. Tsypin🇺🇸

   For systems in the universality class of the three-dimensional Ising model we compute the critical exponents in the local potential approximation (LPA), that is, in the framework of the Wegner-Houghton equation. We are mostly interested in antisymmetric corrections to scaling, which are relatively poorly studied. We find the exponent for the leading antisymmetric correction to scaling ${\omega }_A\approx 1.691$ in the LPA. This high value implies that such corrections cannot explain asymmetries observed in some Monte Carlo simulations.

   hep-latcond-mat.stat-mechhep-phNPB(2002)·8 citations
2. 02*

   Confinement: Results and Perspectives

   A. Di Giacomo🇮🇹

   An updated review is presented of lattice investigations of colour confinement.

   hep-latNPA(2002)·7 citations
3. 03*

   Asymptotic freedom with discrete spin variables?

   Peter Hasenfratz🇨🇭 · Ferenc Niedermayer🇨🇭

   We study the critical behaviour of the 2d dodecahedron spin model and investigate the conjecture that the discrete model describes the same continuum theory as the O(3) non-linear sigma model. In particular, we found that the anisotropy of the magnetization A(z) measured in a fixed physical volume decreases with increasing correlation length, at least up to \xi \approx 1000.

   hep-latPoS(2001)·15 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.