Karthik Nikhil, Narayanan Rajamani
Physics Department, Brookhaven National Laboratory, Upton, New York 11973-5000, USA.
Department of Physics, Florida International University, Miami, Florida 33199, USA.
Phys Rev Lett. 2020 Dec 31;125(26):261601. doi: 10.1103/PhysRevLett.125.261601.
We construct a conformal lattice theory with only gauge degrees of freedom based on the induced nonlocal gauge action in QED_{3} coupled to large number of flavors N of 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 charge q of fermion in the model to a flavor N in massless QED_{3}, we point to a universality in low-lying Dirac spectrum and an evidence of self-duality of N=2 QED_{3}.
我们基于与大量无质量两分量狄拉克费米子味数(N)耦合的(QED_3)中的诱导非局部规范作用，构建了一个仅具有规范自由度的共形晶格理论。该晶格系统在规范可观测量中显示出临界性特征，无需对耦合进行任何微调，并且可以在没有蒙特卡罗临界慢化的情况下进行研究。通过将完全无质量的费米子源耦合到晶格规范模型，我们证明了取决于费米子无量纲电荷的费米子双线性项中会诱导出非平凡的反常维数。我们给出了各种费米子双线性三点函数的威尔逊系数的原理验证晶格计算。最后，通过将模型中费米子的电荷(q)映射到无质量(QED_3)中的味数(N)，我们指出了低能狄拉克谱中的一种普适性以及(N = 2) (QED_3)自对偶性的证据。
