Momentum-shell renormalization-group flow from simulation
- Author(s)
- Andreas Tröster
- Abstract
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(s)
- Computational and Soft Matter Physics
- Journal
- Physical Review E
- Volume
- 79
- No. of pages
- 5
- ISSN
- 1539-3755
- DOI
- https://doi.org/10.1103/PhysRevE.79.036707
- Publication date
- 2009
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103018 Materials physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/d4935bf0-821a-42d4-940e-683274114801