English

Failure of Universality in Noncompact Lattice Field Theories

High Energy Physics - Lattice 2016-08-31 v1

Abstract

The nonuniversal behavior of two noncompact nonlinear sigma models is described. When these theories are defined on a lattice, the behavior of the order parameter (magnetization) near the critical point is sensitive to the details of the lattice definition. This is counter to experience and to expectations based on the ideas of universality.

Keywords

Cite

@article{arxiv.hep-lat/9502008,
  title  = {Failure of Universality in Noncompact Lattice Field Theories},
  author = {T. E. Gallivan and Arie Kapulkin},
  journal= {arXiv preprint arXiv:hep-lat/9502008},
  year   = {2016}
}

Comments

24 pages, REVTeX version 3.0 with 4 embedded figures, provided separately in compressed-uuencoded postscript packed in a self-extracting csh script produced with uufiles. To appear in J. Math. Phys.