QED3 -Inspired Three-Dimensional Conformal Lattice Gauge Theory without Fine-Tuning
QED3 -Inspired Three-Dimensional Conformal Lattice Gauge Theory without Fine-Tuning
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QED3 - 无需微调的三维共形晶格规范理论
DOI：
10.1103/physrevlett.125.261601
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发表时间：
2020
影响因子：
8.6
通讯作者：
Narayanan, Rajamani
中科院分区：
文献类型：
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作者：
Karthik, Nikhil;Narayanan, Rajamani
基于大量无质量两分量Dirac费米子的诱导非定域规范作用量，我们构造了一个仅有规范自由度的共形晶格理论。这种格子系统在规范可观测中显示了临界性的特征，没有任何耦合的微调，并且可以在没有蒙特卡罗临界减速的情况下进行研究。通过将无质量费米子源精确耦合到格点规范模型，我们证明了费米子双耳中非平凡的反常维度依赖于费米子的无量纲电荷。我们给出了各种费米子双线性三点函数的威尔逊系数的一个原则性证明格子计算。最后，通过将模型中费米子的电荷映射到无质量的Favorin，我们指出了低位Dirac谱的普适性和自对偶性的证据。
We construct a conformal lattice theory with only gauge degrees of freedom based on the induced nonlocal gauge action incoupled to large number of flavorsof massless two-component Dirac fermions. This lattice system displays signatures of criticality in gauge observables, without any fine-tuning of couplings and can be studied without Monte Carlo critical slowdown. By coupling exactly massless fermion sources to the lattice gauge model, we demonstrate that nontrivial anomalous dimensions are induced in fermion bilinears depending on the dimensionless electric charge of the fermion. We present a proof-of-principle lattice computation of the Wilson-coefficients of various fermion bilinear three-point functions. Finally, by mapping the chargeof fermion in the model to a flavorin massless, we point to a universality in low-lying Dirac spectrum and an evidence of self-duality of.