Momentum-shell renormalization-group flow from simulation

Autor(en)

Andreas Tröster

Abstrakt

Our recently developed Fourier Monte Carlo algorithm permits a nonperturbative calculation of momentum-shell renormalization-group flows by simulation which despite its apparent simplicity is illustrative both numerically as well as conceptually interesting. We study the example of a phi(4) model with long-range lattice interaction. For this model we show that the topology of the renormalization flow is globally accessible in a particularly convenient way. The nontrivial fixed point of Wilson-Fisher type is observed its accompanying critical exponents are numerically determined from fitting its surrounding flow pattern to a linearized renormalization-group transformation. The results are compared to those obtained from perturbation theory, epsilon-expansion and earlier Monte Carlo simulations. Application of our method is also expected to be rewarding in other models with long-range interactions.

Organisation(en)

Computergestützte Physik und Physik der Weichen Materie

Journal

Physical Review E

Band

79

Anzahl der Seiten

5

ISSN

1539-3755

DOI

https://doi.org/10.1103/PhysRevE.79.036707

Publikationsdatum

2009

Peer-reviewed

Ja

ÖFOS 2012

103018 Materialphysik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/d4935bf0-821a-42d4-940e-683274114801