Optimizing Wilson's momentum shell renormalization group
- Author(s)
- Andreas Tröster
- Abstract
Previous attempts to accurately compute critical exponents from Wilson’s momentum shell renormalization prescription suffered from the difficulties posed by the presence of an infinite number of irrelevant couplings. Taking the example of the one-dimensional long-ranged Ising model, we calculate the momentum shell renormalization flow in the plane spanned by the coupling constants (u0,r0) for different values of the momentum shell thickness parameter b by simulation using our recently developed Fourier Monte Carlo algorithm. We report strong anomalies in the b dependence of the fixed-point couplings and the resulting exponents y? and ? in the vicinity of a shell parameter b?
- Organisation(s)
- Computational and Soft Matter Physics
- Journal
- Physical Review B
- Volume
- 81
- No. of pages
- 6
- ISSN
- 1098-0121
- DOI
- https://doi.org/10.1103/PhysRevB.81.125135
- Publication date
- 2010
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1030 Physics, Astronomy
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/35ca11a0-1241-4ba5-afcf-b093a0ae14f5