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arXiv · 2207.13983

Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$

Shiroman Prakash
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Abstract

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 $M/N$.

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Shiroman Prakash. 2022-07-28. Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$. https://doi.org/10.1103/physrevd.107.066025

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