论文标题
带有风味障碍的宽云高的频谱，$ d = 3 $
Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
论文作者
论文摘要
我们表明，具有混乱的Yukawa模型的一种变体为Sachdev-Ye Kitaev（SYK）模型提供了三个维度的真实，非对称的概括。该模型包含$ M $真实的标量字段和$ n $ dirac（或Majoraana）费米子，通过Yukawa的互动与当地的高斯随机耦合在三个维度上进行交互。在$ m $和$ n $的限制中，固定的比率$ m/n $是固定的，该模型定义了由$ m/n $参数参数的红外固定点线，当$ m/n = 0 $时，将其降低到gross-neveu vector模型。当$ m/n $非零时，该模型由旋速图主导，并引起类似Syk的物理学。我们在理论上计算单个跟踪操作员的频谱，并发现对于$ m/n $的所有值都是真实的。
We show that a variant of the Gross-Neveu Yukawa model with disorder provides a real, nonsupersymmetric generalization of the Sachdev-Ye Kitaev (SYK) model to three dimensions. The model contains $M$ real scalar fields and $N$ Dirac (or Majorana) fermions, interacting via a Yukawa interaction with a local Gaussian random coupling in three dimensions. In the limit where $M$ and $N$ are both large, and the ratio $M/N$ is held fixed, the model defines a line of infrared fixed points parametrized by $M/N$, reducing to the Gross-Neveu vector model when $M/N=0$. When $M/N$ is nonzero, the model is dominated by melonic diagrams and gives rise to SYK-like physics. We compute the spectrum of single-trace operators in the theory, and find that it is real for all values of $M/N$.
