Eliminating leading corrections to scaling in the three-dimensional O(N)-symmetric model φ4: N = 3 and 4

We study corrections to scaling in the O(3)- and O(4)-symmetric ϕ4 model on the three-dimensional simple cubic lattice with nearest-neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite-size scaling method. We find that a finite value of the coupling λ*...

Full description

Saved in:
Bibliographic Details
Main Author: Hasenbusch, Martin (Author)
Format: Article (Journal)
Language:English
Published: 28 September 2001
In: Journal of physics. A, Mathematical and general
Year: 2001, Volume: 34, Issue: 40, Pages: 8221-8236
ISSN:1361-6447
DOI:10.1088/0305-4470/34/40/302
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0305-4470/34/40/302
Get full text
Author Notes:Martin Hasenbusch
Description
Summary:We study corrections to scaling in the O(3)- and O(4)-symmetric ϕ4 model on the three-dimensional simple cubic lattice with nearest-neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite-size scaling method. We find that a finite value of the coupling λ* exists for both values of N, where leading corrections to scaling vanish. As a first application, we compute the critical exponents ν = 0.710(2) and η = 0.0380(10) for N = 3 and ν = 0.749(2) and η = 0.0365(10) for N = 4.
Item Description:Im Titel ist die Zahl "4" hochgestellt
Gesehen am 08.07.2022
Physical Description:Online Resource
ISSN:1361-6447
DOI:10.1088/0305-4470/34/40/302