University of Sussex
Browse

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 Litim
We 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 B

ISSN

0550-3213

Issue

3

Volume

783

Page range

213-226

Pages

9.0

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC