Three-loop renormalization of the \({\mathcal N}=1\), \({\mathcal N}=2\), \({\mathcal N}=4\) supersymmetric Yang-Mills theories

DOI10.1016/j.nuclphysb.2009.03.017zbMath1194.81163arXiv0809.2509OpenAlexW1553732860MaRDI QIDQ992466

V. N. Velizhanin

Publication date: 13 September 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2509

zbMATH Keywords

beta functionrenormalization constantsdimensional reduction scheme

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items (16)

Anomalous dimensions of gauge fields and gauge coupling beta-functions in the standard model at three loops ⋮ Non-renormalization of the \(V \overline{c} c\)-vertices in \(\mathcal{N} = 1\) supersymmetric theories ⋮ Two spinning Konishi operators at three loops. ⋮ Three-loop \(\beta \)-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives ⋮ A note on three-point functions of unprotected operators ⋮ On structure constants with two spinning twist-two operators ⋮ On the irrelevance of the Gribov issue in \(\mathcal{N} = 4\) super Yang-Mills in the Landau gauge ⋮ Scheme independent consequence of the NSVZ relation for \(\mathcal N=1\) SQED with \(N_f\) flavors ⋮ Review of AdS/CFT integrability, chapter III.5: Lüscher corrections ⋮ Factorization of integrals defining the \(\beta \)-function into integrals of total derivatives in \(N=1\) SQED, regularized by higher derivatives ⋮ Three-loop anomalous dimension of the non-singlet transversity operator in QCD ⋮ NSVZ scheme with the higher derivative regularization for \(\mathcal{N}=1\) SQED ⋮ Yukawa coupling beta-functions in the standard model at three loops ⋮ Generalized Gribov-Lipatov reciprocity and AdS/CFT ⋮ Perturbative linearization of super-Yang-Mills theories in general gauges ⋮ The NSVZ \(\beta\)-function in supersymmetric theories with different regularizations and renormalization prescriptions

Cites Work

• Anomalous dimension with wrapping at four loops in \({\mathcal N}=4\) SYM
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• A Feynman diagram analyzer DIANA.
• Automatic Feynman graph generation
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

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