학술논문

Benchmarking the Ising Universality Class in $3 \le d < 4$ dimensions
Document Type
Working Paper
Source
SciPost Phys. 14, 135 (2023)
Subject
High Energy Physics - Theory
Condensed Matter - Statistical Mechanics
Language
Abstract
The Ising critical exponents $\eta$, $\nu$ and $\omega$ are determined up to one-per-thousand relative error in the whole range of dimensions $3 \le d < 4$, using numerical conformal-bootstrap techniques. A detailed comparison is made with results by the resummed epsilon-expansion in varying dimension, the analytic bootstrap, Monte Carlo and non-perturbative renormalization-group methods, finding very good overall agreement. Precise conformal field theory data of scaling dimensions and structure constants are obtained as functions of dimension, improving on earlier findings, and providing benchmarks in $3 \le d < 4$.
Comment: 43 pages, 44 pdf figures, 7 tables. v2: further data and comments added. v3: published version with better description of boostrap navigator data and resummation techniques