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Ising exponents from the functional renormalisation group

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posted on 2023-06-07, 23:14 authored by Daniel LitimDaniel Litim, Dario Zappalà
We study the 3d Ising universality class using the functional renormalization group. With the help of background fields and a derivative expansion up to fourth order we compute the leading index, the subleading symmetric and antisymmetric corrections to scaling, the anomalous dimension, the scaling solution, and the eigenperturbations at criticality. We also study the cross correlations of scaling exponents, their dependence on dimensionality, and the numerical convergence of the derivative expansion. Collecting all available data from functional renormalization group studies to date, we estimate that systematic errors are in good agreement with findings from Monte Carlo simulations, ?-expansion techniques, and resummed perturbation theory.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

1550-7998

Publisher

American Physical Society

Issue

8

Volume

83

Page range

085009

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2016-03-22

First Compliant Deposit (FCD) Date

2017-03-13

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