File(s) not publicly available
High-accuracy scaling exponents in the local potential approximation
journal contribution
posted on 2023-06-07, 23:03 authored by Claude Bervillier, Andreas Jüttner, Daniel LitimDaniel LitimWe test equivalences between different realisations of Wilson's renormalisation group by computing the leading, subleading, and anti-symmetric corrections-to-scaling exponents, and the full fixed point potential for the Ising universality class to leading order in a derivative expansion. We discuss our methods with a special emphasis on accuracy and reliability. We establish numerical equivalence of Wilson¿Polchinski flows and optimised renormalisation group flows with an unprecedented accuracy in the scaling exponents. Our results are contrasted with high-accuracy findings from Dyson's hierarchical model, where a tiny but systematic difference in all scaling exponents is established. Further applications for our numerical methods are briefly indicated.
History
Publication status
- Published
Journal
Nuclear Physics BISSN
0550-3213External DOI
Issue
3Volume
783Page range
213-226Pages
9.0Department affiliated with
- Physics and Astronomy Publications
Full text available
- No
Peer reviewed?
- Yes