Abstract:
We propose a universal gauge-invariant renormalization scheme for supersymmetric theories. We apply this scheme to the supersymmetric quantum electrodynamics.
Citation:
A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for Supersymmetric Theories”, TMF, 135:2 (2003), 265–279; Theoret. and Math. Phys., 135:2 (2003), 673–684
This publication is cited in the following 25 articles:
Igor Kondrashuk, Ivan Schmidt, “Finiteness of N=4 Super-Yang–Mills Effective Action in Terms of Dressed N=1 Superfields”, Particles, 6:4 (2023), 993
K. V. Stepanyantz, “The Higher Covariant Derivative Regularization as a Tool for Revealing the Structure of Quantum Corrections in Supersymmetric Gauge Theories”, Proc. Steklov Inst. Math., 309 (2020), 284–298
Shakhmanov V.Yu. Stepanyantz K.V., “New Form of the Nsvz Relation At the Two-Loop Level”, Phys. Lett. B, 776 (2018), 417–423
Kataev A.L. Kazantsev A.E. Stepanyantz K.V., “The Adler D-Function For N=1 SQCD Regularized By Higher Covariant Derivatives in the Three-Loop Approximation”, Nucl. Phys. B, 926 (2018), 295–320
Aleshin S.S. Kazantsev A.E. Skoptsov M.B. Stepanyantz K.V., “One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization”, J. High Energy Phys., 2016, no. 5, 014
A. L. Kataev, K. V. Stepanyantz, “The NSVZ $\beta$-function in supersymmetric theories with different
regularizations and renormalization prescriptions”, Theoret. and Math. Phys., 181:3 (2014), 1531–1540
M. A. Vasiliev, P. A. Smirnov, “Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space”, Theoret. and Math. Phys., 181:3 (2014), 1509–1521
Buchbinder I.L. Stepanyantz K.V., “The Higher Derivative Regularization and Quantum Corrections in N=2 Supersymmetric Theories”, Nucl. Phys. B, 883 (2014), 20–44
K. V. Stepanyantz, “Higher covariant derivative regularization for calculations in supersymmetric theories”, Proc. Steklov Inst. Math., 272 (2011), 256–265
Pimenov A.B., Shevtsova E.S., Stepanyantz K.V., “Calculation of two-loop beta-function for general N=1 supersymmetric Yang-Mills theory with the higher covariant derivative regularization”, Physics Letters B, 686:4–5 (2010), 293–297
Stepanyantz, KV, “Toward proving a new identity for Green's functions in N=1 supersymmetric electrodynamics”, Physics of Atomic Nuclei, 72:1 (2009), 105
Stepanyantz K., “Application of Higher Derivative Regularization To Calculation of Quantum Corrections in N=1 Supersymmetric Theories”, Particle Physics on the Eve of Lhc, 2009, 390–393
A. B. Pimenov, K. V. Stepanyantz, “Two-loop Gell-Mann–Low function of the $N=1$ supersymmetric
Yang–Mills theory regularized by higher covariant derivatives”, Theoret. and Math. Phys., 155:3 (2008), 848–861
A. B. Pimenov, K. V. Stepanyantz, “Verifying a new identity for Green's functions of the $N=1$ supersymmetric non-Abelian Yang–Mills theory with matter fields”, Theoret. and Math. Phys., 156:2 (2008), 1199–1208
Pimenov, AB, “REGULARIZATION BY HIGHER DERIVATIVES AND QUANTUM CORRECTION FOR N=1 SUPERSYMMETRIC THEORIES”, Russian Physics Journal, 51:5 (2008), 444
K. V. Stepanyantz, “Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives”, Theoret. and Math. Phys., 146:3 (2006), 321–334
Cvetic G, Kondrashuk I, Schmidt I, “Effective action of dressed mean fields for N=4 super-Yang-Mills theory”, Modern Physics Letters A, 21:14 (2006), 1127–1135
Gorazd Cvetic, Igor Kondrashuk, Ivan Schmidt, “On the Effective Action of Dressed Mean Fields for $\mathcal N=4$ Super-Yang–Mills Theory”, SIGMA, 2 (2006), 002, 8 pp.
K. V. Stepanyantz, “Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics”, Theoret. and Math. Phys., 142:1 (2005), 29–47