The NSVZ scheme for \(\mathcal{N} = 1\) SQED with \(N_f\) flavors, regularized by the dimensional reduction, in the three-loop approximation

DOI10.1016/j.physletb.2016.11.041zbMath1369.81106arXiv1610.08034OpenAlexW2546308723MaRDI QIDQ2399110

I. O. Goriachuk, A. L. Kataev, K. V. Stepanyantz, S. S. Aleshin

Publication date: 21 August 2017

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

Full work available at URL: https://arxiv.org/abs/1610.08034

zbMATH Keywords

dimensional reductionsupersymmetryNSVZ beta-function

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (17)

Three-loop NSVZ relation for terms quartic in the Yukawa couplings with the higher covariant derivative regularization ⋮ The NSVZ relations for \(\mathcal{N} = 1\) supersymmetric theories with multiple gauge couplings ⋮ Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff ⋮ 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 NSVZ \(\beta\)-function for theories regularized by higher covariant derivatives: the all-loop sum of matter and ghost singularities ⋮ The three-loop Adler $D$-function for $ \mathcal{N}=1 $ SQCD regularized by dimensional reduction ⋮ The higher covariant derivative regularization as a tool for revealing the structure of quantum corrections in supersymmetric gauge theories ⋮ Higher logarithms and \(\varepsilon\)-poles for the MS-like renormalization prescriptions ⋮ 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 ⋮ Three-loop verification of a new algorithm for the calculation of a \(\beta\)-function in supersymmetric theories regularized by higher derivatives for the case of \(\mathcal{N} = 1\) SQED ⋮ A class of the NSVZ renormalization schemes for \(\mathcal{N} = 1\)\,SQED ⋮ The \(\beta\)-function of \(\mathcal{N} = 1\) supersymmetric gauge theories regularized by higher covariant derivatives as an integral of double total derivatives ⋮ 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 ⋮ One-loop polarization operator of the quantum gauge superfield for 𝒩 = 1 SYM regularized by higher derivatives

Cites Work

• Factorization of integrals defining the \(\beta \)-function into integrals of total derivatives in \(N=1\) SQED, regularized by higher derivatives
• Derivation of the exact NSVZ \(\beta \)-function in \(N=1\) SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• Lagrange multipliers and couplings in supersymmetric field theory
• Background field calculations and nonrenormalization theorems in 4d supersymmetric gauge theories and their low-dimensional descendants
• Scheme independent consequence of the NSVZ relation for \(\mathcal N=1\) SQED with \(N_f\) flavors
• 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

This page was built for publication: The NSVZ scheme for \(\mathcal{N} = 1\) SQED with \(N_f\) flavors, regularized by the dimensional reduction, in the three-loop approximation