Optimizing Wilson's momentum shell renormalization group

Autor(en)

Andreas Tröster

Abstrakt

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(en)

Computergestützte Physik und Physik der Weichen Materie

Journal

Physical Review B

Band

81

Anzahl der Seiten

6

ISSN

1098-0121

DOI

https://doi.org/10.1103/PhysRevB.81.125135

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

1030 Physik, Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/35ca11a0-1241-4ba5-afcf-b093a0ae14f5