Critical exponent $\omega$ in the Gross-Neveu-Yukawa model at $O(1/N)$

Abstract

The critcal exponent $\omega$ is evaluated at $O(1/N)$ in $d$-dimensions in the Gross-Neveu model using the large $N$ critical point formalism. It is shown to be in agreement with the recently determined three loop $\beta$-functions of the Gross-Neveu-Yukawa model in four dimensions. The same exponent is computed for the chiral Gross-Neveu and non-abelian Nambu-Jona-Lasinio universality classes.

arXiv comment16 latex pages, 5 figures, typos corrected and text added

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Cited by in corpus (16)

• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Critical behavior of Dirac fermions from perturbative renormalization
• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Large $N_f$ quantum field theory
• Correction exponents in the Gross - Neveu - Yukawa model at $1/N^2$
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• The abelian gauge-Yukawa $\beta$-functions at large $N_f$
• The $\beta$-function for Yukawa theory at large $N_f$
• A critical look at $\beta$-function singularities at large $N$
• The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions
• Bubble-resummation and critical-point methods for $\beta$-functions at large $N$
• Critical structure and emergent symmetry of Dirac fermion systems
• Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixing
• Loop calculations for models of graphene