近边缘算子存在下共形理论的有限尺寸标度
Finite size scaling of conformal theories in the presence of a near-marginal operator
摘要：
规范-费米子系统在共形窗口附近的规范耦合的缓慢发展使得这些模型的数值研究具有挑战性。我们认为有限尺寸标度，并表明，这种经常使用的技术会导致不一致的结果，如果领导阶标度校正被忽略。当修正包括在内的结果变得一致，不仅在不同的运营商，但即使在不同的规范耦合或不同的晶格行动得到的数据相结合。结果表明SU（3）12-费米子系统与质量反常维数$γ_m=0.235(15)$共形.
英文摘要：
The slowly evolving gauge coupling of gauge-fermion systems near the conformal window makes numerical investigations of these models challenging. We consider finite size scaling and show that this often used technique leads to inconsistent results if the leading order scaling corrections are neglected. When the corrections are included the results become consistent not only between different operators but even when data obtained at different gauge couplings or with different lattice actions are combined. Our results indicate that the SU(3) 12-fermion system is conformal with mass anomalous dimension $γ_m=0.235(15)$.
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