# Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories

@article{Velizhanin2008ThreeloopRO,
title={Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories},
author={Vitaly Velizhanin},
journal={Nuclear Physics},
year={2008},
volume={818},
pages={95-100}
}
We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the
• Mathematics
• 2016
A bstractWe consider a general non-Abelian renormalizable N$$\mathcal{N}$$ = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and
Supersymmetric Yang-Mills theories can be characterized by a non-local and non-linear transformation of the bosonic fields (Nicolai map) mapping the interacting functional measure to that of a free
• Physics
JETP Letters
• 2020
For ${\cal N} = 1$ supersymmetric Yang—Mills theory without matter it is demonstrated that there is a class of renormalization schemes, in which the exact Novikov, Shifman, Vainshtein, and Zakharov

## References

SHOWING 1-10 OF 59 REFERENCES

We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the
AbstractWe present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in $$\mathcal{N}$$ = 4 Supersymmetric Yang-Mills theory.
• Physics
• 2006
Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the scheme and put special emphasis on the additional