Examples of overlapping convergent expansions of scaling variables

Y Meurice; S Niermann

doi:10.48550/arxiv.hep-lat/0007037

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Examples of overlapping convergent expansions of scaling variables

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Examples of overlapping convergent expansions of scaling variables

Y Meurice and S Niermann

07/25/2000

DOI: 10.48550/arxiv.hep-lat/0007037

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We construct series expansions for the scaling variables (which transform multiplicatively under a renormalization group (RG) transformation) in examples where the RG flows, going from an unstable (Wilson's) fixed point to a stable (high-temperature) fixed point, can be calculated numerically. The examples are Dyson's hierarchical model and a simplified version of it. We provide numerical evidence that the scaling variables about the two fixed points have overlapping domain of convergence. We show how quantities such as the magnetic susceptibility can be expressed in terms of these variables. This procedure provide accurate analytical expressions both in the critical and high-temperature region.

Physics - High Energy Physics - Lattice

Details

Title: Subtitle: Examples of overlapping convergent expansions of scaling variables
Creators: Y Meurice
S Niermann
Resource Type: Preprint
DOI: 10.48550/arxiv.hep-lat/0007037
Language: English
Date posted: 07/25/2000
Academic Unit: Physics and Astronomy
Record Identifier: 9984442013002771

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