Ising exponents from the functional renormalization group

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.085009· OSTI ID:21541529

Litim, Daniel F ^[1]; Zappala, Dario ^[2]

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1. Department of Physics and Astronomy, University of Sussex, BN1 9QH, Brighton (United Kingdom)
2. INFN, Sezione di Catania, 64 via S. Sofia, I-95123, Catania (Italy)

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, {epsilon}-expansion techniques, and resummed perturbation theory.

• OSTI ID: 21541529
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
CALCULATION METHODS
COMPUTERIZED SIMULATION
CONVERGENCE
CORRECTIONS
CORRELATIONS
CRITICALITY
CRYSTAL MODELS
ERRORS
EXPANSION
ISING MODEL
MATHEMATICAL MODELS
MONTE CARLO METHOD
PERTURBATION THEORY
RENORMALIZATION
SCALE DIMENSION
SCALING
SIMULATION
SYMMETRY