Published August 1, 2002
| Version v1
Journal article
Lattice artifacts and the running of the coupling constant
- 1. Max-Planck-Institut fuer Physik (Werner-Heisenberg-Institut), Foehringer Ring 6, D-80805 Munich (Germany)
- 2. Physics Department, University of Arizona, Tucson, Arizona 85721 (United States)
Description
We study the running of the Luescher-Weisz-Wolff (LWW) coupling constant in the two-dimensional O(3) nonlinear σ model. To investigate the continuum limit we refine the lattice spacing from the (1/16) value used by LWW up to (1/160). We find larger lattice artifacts than those estimated by LWW and that most likely the coupling constant runs slower than predicted by perturbation theory. A precise determination of the running in the continuum limit would require a controlled ansatz of extrapolation, which, we argue, is not presently available
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.66.034502;
- arXiv
- arXiv:hep-lat/0009005v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 66
- Journal Issue
- 3
- Journal Page Range
- p. 034502-034502.5
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35067532
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S36: MATERIALS SCIENCE; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COUPLING CONSTANTS; ELEMENTARY PARTICLES; EXTRAPOLATION; LATTICE FIELD THEORY; NONLINEAR PROBLEMS; O GROUPS; PERTURBATION THEORY; SIGMA MODEL
- Descriptors DEC
- BOSON-EXCHANGE MODELS; CONSTRUCTIVE FIELD THEORY; DYNAMICAL GROUPS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; PARTICLE MODELS; PERIPHERAL MODELS; QUANTUM FIELD THEORY; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2002 The American Physical Society