Correction exponents in the Gross - Neveu - Yukawa model at $1/N^2$

Abstract

We calculate the critical exponents ${\omega }_{\pm }$ in the $d$-dimensional Gross-Neveu model in $1/N$ expansion with $1/N^2$ accuracy. These exponents are related to the slopes of the $\beta$-functions at the critical point in the Gross - Neveu - Yukawa model. They have been computed recently to four loops accuracy. We checked that our results are in complete agreement with the results of the perturbative calculations.

10 pages, 9 figures

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• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Phase diagram of electronic systems with quadratic Fermi nodes in $2<d<4$: $2+\epsilon$ expansion, $4-\epsilon$ expansion, and functional renormalization group
• Yukawa CFTs and Emergent Supersymmetry
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