Published September 4, 1995
| Version v1
Journal article
Asymptotic Scaling in the Two-Dimensional O(3) σ Model at Correlation Length 105
Creators
- 1. Department of Physics, New York University, 4 Washington Place, New York, New York 10003 (United States)
- 2. Dipartimento di Fisica and INFN-Sezione di Pisa, Universita degli Studi di Pisa, I-56100 Pisa (Italy)
- 3. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)
- 4. Dipartimento di Fisica, Universita di Lecce and INFN-Sezione di Lecce, I-73100 Lecce (Italy)
Description
We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ model at correlation lengths ξ up to ∼105. Our work employs a powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully the systematic and statistical errors in this extrapolation. We then compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ∼25% at ξ∼102, decreases to ∼4% at ξ∼105
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 75
- Journal Issue
- 10
- Journal Page Range
- p. 1891-1894.
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 27060593
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ERRORS; MONTE CARLO METHOD; O GROUPS; SCALING; SIGMA MODEL; SIMULATION; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- BOSON-EXCHANGE MODELS; CALCULATION METHODS; CHEMICAL REACTIONS; CORROSION; DYNAMICAL GROUPS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; PERIPHERAL MODELS; SYMMETRY GROUPS