Journal article
Accurate checks of universality for Dyson’s hierarchical model
Physical Review, D, Vol.57(11), R6581(R)
06/01/1998
DOI: 10.1103/PhysRevD.57.R6581
Abstract
Using recently developed methods, we perform high-accuracy calculations of the susceptibility near {beta}{sub c} for the D=3 version of Dyson{close_quote}s hierarchical model. Using linear fits, we estimate the leading ({gamma}) and subleading ({Delta}) exponents. Independent estimates are obtained by calculating the first two eigenvalues of the linearized renormalization group transformation. We found {gamma}=1.29914073{plus_minus}10{sup {minus}8} and {Delta}=0.4259469{plus_minus}10{sup {minus}7} independently of the choice of local integration measure (Ising or Landau-Ginzburg). After a suitable rescaling, the approximate fixed points for a large class of local measure coincide accurately with a fixed point constructed by Koch and Wittwer. {copyright} {ital 1998} {ital The American Physical Society}
Details
- Title: Subtitle
- Accurate checks of universality for Dyson’s hierarchical model
- Creators
- J.J Godina - Departamento de Fisica, CINVESTAV-IPN, Apartado Postal 14-740, (Mexico), Distrito Federal07000]|[Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242 (United States)Y Meurice - University of Iowa, Physics and AstronomyM.B Oktay - University of Iowa, Physics and Astronomy
- Resource Type
- Journal article
- Publication Details
- Physical Review, D, Vol.57(11), R6581(R)
- DOI
- 10.1103/PhysRevD.57.R6581
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Language
- English
- Date published
- 06/01/1998
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984200035902771
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