Failure of Universality in Noncompact Lattice Field Theories

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.

arXiv comment24 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.

References in corpus (2)

• The Quantized $O(1,2)/O(2)\times Z_2$ Sigma Model Has No Continuum Limit in Four Dimensions. I. Theoretical Framework
• The Quantized $O(1,2)/O(2)\times Z_2$ Sigma Model Has No Continuum Limit in Four Dimensions. II. Lattice Simulation