activity
20192025
most citedThree-loop contribution of the Faddeev-Popov ghosts to the -function of supersymmetric gauge theories and the NSVZ relation

21 citations · 86 across the 8 of their papers we have counts for

collaborators

8 papers

cond-mat.str-el2025

Recursion method for quench dynamics: strengths and limitations

Ilya Shirokov, Viacheslav Khrushchev, Filipp Uskov +3

The recursion method, which solves coupled Heisenberg equations in a Lanczos operator basis, has recently emerged as a powerful nonperturbative tool for computing dynamical correla…

hep-th2023★ 7 cited

The four-loop -function from vacuum supergraphs and the NSVZ relation for SQED regularized by higher derivatives

Ilya Shirokov, Valentina Shirokova

In SQED with flavors regularized by higher derivatives we obtain the four-loop beta function using a method based on calculating vacuum supergraphs. For this pur…

hep-th2022★ 3 cited

Computer algebra calculations in supersymmetric electrodynamics

Ilya Shirokov

We propose a new symbolic algorithm and a C++ program for generating and calculating supersymmetric Feynman diagrams for supersymmetric electrodynamics regularized by…

hep-th2022★ 17 cited

The three-loop anomalous dimension and the four-loop -function for SQED regularized by higher derivatives

Ilya Shirokov, Konstantin Stepanyantz

For SQED with flavors regularized by higher derivatives in the general -gauge we calculate the three-loop anomalous dimension of the matter superfields define…

hep-th2021★ 8 cited

Finiteness of the triple gauge-ghost vertices in supersymmetric gauge theories: the two-loop verification

Mikhail Kuzmichev, Nikolai Meshcheriakov, Sergey Novgorodtsev +3

By an explicit calculation we demonstrate that the triple gauge-ghost vertices in a general renormalizable supersymmetric gauge theory are UV finite in the two-loop ap…

hep-th2021★ 10 cited

Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in supersymmetric gauge theories regularized by higher derivatives

Mikhail Kuzmichev, Nikolai Meshcheriakov, Sergey Novgorodtsev +2

For a general renormalizable supersymmetric gauge theory with a simple gauge group we verify the ultraviolet (UV) finiteness of the two-loop matter contribution to the…

hep-th2020★ 20 cited

Three-loop verification of a new algorithm for the calculation of a -function in supersymmetric theories regularized by higher derivatives for the case of SQED

S. S. Aleshin, I. S. Durandina, D. S. Kolupaev +9

We verify a recently proposed method for obtaining a -function of supersymmetric gauge theories regularized by higher derivatives by an explicit calculation. Accord…

hep-th2019★ 21 cited

Three-loop contribution of the Faddeev-Popov ghosts to the -function of supersymmetric gauge theories and the NSVZ relation

M. D. Kuzmichev, N. P. Meshcheriakov, S. V. Novgorodtsev +2

We find the three-loop contribution to the -function of supersymmetric gauge theories regularized by higher covariant derivatives produced by the supergraphs contai…