Journal article
High-Accuracy Calculations of the Critical Exponents of Dyson's Hierarchical Model
Physical review. D, Particles, fields, gravitation, and cosmology, Vol.59(9), 096002
1999
DOI: 10.1103/PhysRevD.59.096002
Abstract
We calculate the critical exponent gamma of Dyson's hierarchical model by direct fits of the zero momentum two-point function, calculated with an Ising and a Landau-Ginzburg measure, and by linearization about the Koch-Wittwer fixed point. We find gamma= 1.299140730159 plus or minus 10^(-12). We extract three types of subleading corrections (in other words, a parametrization of the way the two-point function depends on the cutoff) from the fits and check the value of the first subleading exponent from the linearized procedure. We suggest that all the non-universal quantities entering the subleading corrections can be calculated systematically from the non-linear contributions about the fixed point and that this procedure would provide an alternative way to introduce the bare parameters in a field theory model.
Details
- Title: Subtitle
- High-Accuracy Calculations of the Critical Exponents of Dyson's Hierarchical Model
- Creators
- J J GodinaM B OktayY Meurice
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles, fields, gravitation, and cosmology, Vol.59(9), 096002
- DOI
- 10.1103/PhysRevD.59.096002
- ISSN
- 1550-7998
- eISSN
- 1550-2368
- Language
- English
- Date published
- 1999
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984386687102771
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