The NSVZ \(\beta\)-function for theories regularized by higher covariant derivatives: the all-loop sum of matter and ghost singularities

DOI10.1007/JHEP01(2020)192zbMath1434.81131arXiv1912.12589OpenAlexW3102519563MaRDI QIDQ2185370

K. V. Stepanyantz

Publication date: 4 June 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12589

zbMATH Keywords

supersymmetric gauge theoryrenormalization regularization and renormalons

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (5)

The NSVZ relations for \(\mathcal{N} = 1\) supersymmetric theories with multiple gauge couplings ⋮ Peculiarities of beta functions in sigma models ⋮ Supergraph calculation of one-loop divergences in higher-derivative \(6D\) SYM theory ⋮ Two-loop renormalization of the matter superfields and finiteness of \(\mathcal{N} = 1\) supersymmetric gauge theories regularized by higher derivatives ⋮ The three-loop anomalous dimension and the four-loop \(\beta\)-function for \(\mathcal{N} = 1\) SQED regularized by higher derivatives

Cites Work

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• Four-loop \(\beta \) function and mass anomalous dimension in dimensional reduction
• Derivation of the exact NSVZ \(\beta \)-function in \(N=1\) SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• Exact renormalization of the photino mass in softly broken \( \mathcal{N} =1 \) SQED with \( N_{f} \) flavors regularized by higher derivatives
• Background field calculations and nonrenormalization theorems in 4d supersymmetric gauge theories and their low-dimensional descendants
• The higher derivative regularization and quantum corrections in \(\mathcal{N} = 2\) supersymmetric theories
• Precision calculations in supersymmetric theories
• Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge
• Renormalizations in softly broken SUSY gauge theories
• New form of the exact NSVZ \(\beta\)-function: the three-loop verification for terms containing Yukawa couplings
• Two-loop renormalization of the Faddeev-Popov ghosts in \( \mathcal{N}=1 \) supersymmetric gauge theories regularized by higher derivatives
• The Adler \(D\)-function for \(\mathcal{N} = 1\) SQCD regularized by higher covariant derivatives in the three-loop approximation
• New form of the NSVZ relation at the two-loop level
• Scheme independent consequence of the NSVZ relation for \(\mathcal N=1\) SQED with \(N_f\) flavors
• The anomalous dimension of the composite operator \(A^2\) in the Landau gauge
• A class of the NSVZ renormalization schemes for \(\mathcal{N} = 1\)\,SQED
• The higher covariant derivative regularization as a tool for revealing the structure of quantum corrections in supersymmetric gauge theories
• The \(\beta\)-function of \(\mathcal{N} = 1\) supersymmetric gauge theories regularized by higher covariant derivatives as an integral of double total derivatives
• The NSVZ \(\beta\)-function in supersymmetric theories with different regularizations and renormalization prescriptions
• Three-loop NSVZ relation for terms quartic in the Yukawa couplings with the higher covariant derivative regularization
• The NSVZ scheme for \(\mathcal{N} = 1\) SQED with \(N_f\) flavors, regularized by the dimensional reduction, in the three-loop approximation
• The three-loop Adler $D$-function for $ \mathcal{N}=1 $ SQCD regularized by dimensional reduction
• NSVZ scheme with the higher derivative regularization for \(\mathcal{N}=1\) SQED
• Non-renormalization of the \(V \overline{c} c\)-vertices in \(\mathcal{N} = 1\) supersymmetric theories
• Three-loop \(\beta\)-function of \(N=1\) supersymmetric electrodynamics regularized by higher derivatives
• Harmonic Superspace
• One-loop polarization operator of the quantum gauge superfield for 𝒩 = 1 SYM regularized by higher derivatives
• Remark on the consistent gauge anomaly in supersymmetric theories
• An anomalous breaking of supersymmetry in supersymmetric gauge theories with local coupling
• Non-renormalization theorems of supersymmetric QED in the Wess-Zumino gauge

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