Dimensional Reduction by Conformal Bootstrap

The dimensional reductions in the branched polymer and the random field Ising model (RFIM) are discussed by a conformal bootstrap method. The small size minors are applied for the evaluations of the scale dimensions of these two models and the results are compared to D'=D-2 dimensional Yang-Lee...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-06
Main Author: Hikami, Shinobu
Format: Article
Language:English
Subjects:
Bootstrap method
Ising model
Reduction
Statistical methods
Supersymmetry
Two dimensional models
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The dimensional reductions in the branched polymer and the random field Ising model (RFIM) are discussed by a conformal bootstrap method. The small size minors are applied for the evaluations of the scale dimensions of these two models and the results are compared to D'=D-2 dimensional Yang-Lee edge singularity and to pure D'=D-2 dimensional Ising model, respectively. For the former case, the dimensional reduction is shown to be valid for \(3 \le D \le 8\), and for the latter case, the deviation from the dimensional reduction can be seen below five dimensions.
ISSN:2331-8422
DOI:10.48550/arxiv.1801.09052