TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.4.127
TI  - $\beta$-function of the level-zero Gross-Neveu model
PY  - 2023/10/02
UR  - https://www.scipost.org/SciPostPhys.15.4.127
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 4
SP  - 127
A1  - Bykov, Dmitri
AB  - We explain that the supersymmetric $\mathbb{CP}^{n-1}$ sigma model is directly related to the level-zero chiral Gross-Neveu (cGN) model. In particular, beta functions of the two theories should coincide. This is consistent with the one-loop-exactness of the $\mathbb{CP}^{n-1}$ beta function and a conjectured all-loop beta function of cGN models. We perform an explicit four-loop calculation on the cGN side and discuss the renormalization scheme dependence that arises.
ER  -

@Article{10.21468/SciPostPhys.15.4.127,
	title={{$\beta$-function of the level-zero Gross-Neveu model}},
	author={Dmitri Bykov},
	journal={SciPost Phys.},
	volume={15},
	pages={127},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.4.127},
	url={https://scipost.org/10.21468/SciPostPhys.15.4.127},
}