论文标题

在$ 3 \ le d <4 $尺寸的基准标准标准标准

Benchmarking the Ising Universality Class in $3 \le d < 4$ dimensions

论文作者

Bonanno, Claudio, Cappelli, Andrea, Kompaniets, Mikhail, Okuda, Satoshi, Wiese, Kay Jörg

论文摘要

使用数值的综合式启动技术,确定整个尺寸$ 3 \ le d <4 $在整个范围内确定$η$,$η$,$η$,$η$,$η$,$η$,$η$,$η$,$η$,$η$ $η$。通过不同维度,分析性自举,蒙特卡洛和非扰动重新分配组方法的重新亮起的epsilon扩展的结果进行了详细的比较,发现了很好的总体一致性。缩放维度和结构常数的精确保串场理论数据作为维度的函数,改善早期发现,并以$ 3 \ le d <4 $提供基准。

The Ising critical exponents $η$, $ν$ and $ω$ 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 $3 \le d < 4$.

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