Journal article
High-accuracy critical exponents of O(N) hierarchical sigma models
Physical review. D, Particles and fields, Vol.73(4), 047701
02/15/2006
DOI: 10.1103/PhysRevD.73.047701
Abstract
We perform high-accuracy calculations of the critical exponent {gamma} and its subleading exponent for the 3D O(N) Dyson's hierarchical model for N up to 20. We calculate the critical temperatures for the nonlinear sigma model measure {delta}({phi}{yields}.{phi}{yields}-1). We discuss the possibility of extracting the first coefficients of the 1/N expansion from our numerical data. We show that the leading and subleading exponents agree with the Polchinski equation and the equivalent Litim equation, in the local potential approximation, with at least 4 significant digits.
Details
- Title: Subtitle
- High-accuracy critical exponents of O(N) hierarchical sigma models
- Creators
- J.J Godina - CINVESTAVL Li - University of IowaY Meurice - University of IowaM.B Oktay - Trinity College Dublin
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles and fields, Vol.73(4), 047701
- DOI
- 10.1103/PhysRevD.73.047701
- ISSN
- 0556-2821
- eISSN
- 1089-4918
- Language
- English
- Date published
- 02/15/2006
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199782202771
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