Four loop MSbar mass anomalous dimension in the Gross-Neveu model

Abstract

We compute the four loop term of the mass anomalous dimension in the two dimensional Gross-Neveu model in the MSbar scheme. The absence of multiplicative renormalizability which results when using dimensional regularization means that the effect of the evanescent operator, which first appears at three loops in the 4-point Green's function, has to be properly treated in the construction of the renormalization group function. We repeat the calculation of the three loop MSbar beta-function and construct the beta-function of the evanescent operator coupling which corrects earlier computations.

20 latex pages, 7 figures

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• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
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• On the disorder-driven quantum transition in three-dimensional relativistic metals
• Large $N_f$ quantum field theory
• Fermions in Boundary Conformal Field Theory : Crossing Symmetry and $\epsilon$-Expansion
• Higher-spin currents in the Gross-Neveu model at $1/n^2$
• Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite $\mathbf{\epsilon }$
• Gross-Neveu-Heisenberg criticality from $2+\mathbf{\epsilon }$ expansion
• Renormalization and non-renormalization of scalar EFTs at higher orders
• Homoclinic RG flows, or when relevant operators become irrelevant
• Unitarity and Universality in non relativistic Conformal Field theory
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• Emergent Supersymmetry at Large $N$
• $\beta$-function of the level-zero Gross-Neveu model
• Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry
• Critical behavior of QED${}_3$--Gross-Neveu-Yukawa Theory in an Arbitrary Gauge