23 citations · 58 across the 13 of their papers we have counts for
15 papers
New Solutions for RG Equations in QCD
R. M. Iakhibbaev, D. I. Kazakov, D. M. Tolkachev
We construct simple analytical solutions of renormalization group equations for the running coupling and for the Green functions in QCD in the asymptotic regime. These solutions ha…
Leading UV divergences of quantum corrections to Kähler superpotential in general chiral model
R. M. Iakhibbaev, A. I. Mukhaeva, D. M. Tolkachev
Using the Bogoliubov-Parasiuk theorem we derive differential equations for the sum of leading UV divergences of the Kähler potential in the general supersymmetric c…
Effective Potential in Subleading Logarithmic Approximation in Arbitrary Non-renormalizable Scalar Field Theory
R. M. Iakhibbaev, D. I. Kazakov, A. I. Mukhaeva +1
Following the previously developed approach to the calculation of quantum corrections to the effective potential in arbitrary scalar field theories in the leading logarithmic appro…
Chiral effective potential in , SYM theory
I. L. Buchbinder, R. M. Iakhibbaev, D. I. Kazakov +2
We consider , , super Yang-Mills theory formulated in terms of superfields where the leading low-energy contributions to effective action…
Effective potential in symmetric scalar field theories in curved spacetime
V. A. Filippov, R. M. Iakhibbaev, D. M. Tolkachev
We derive recurrence relations for leading logarithmic all-loop quantum corrections in the case of symmetric scalar theory with an arbitrary potential in curved spacetime.…
Chiral effective potential in , supersymmetric gauge theories
I. L. Buchbinder, R. M. Iakhibbaev, A. I. Mukhaeva +2
We calculate the chiral effective superpotential in , super Yang-Mills theory coupled to chiral matter in one- and two-loop approximations. It is found…
All-loop effective potential for arbitrary scalar models in curved space-time
V. A. Filippov, R. M. Iakhibbaev, D. M. Tolkachev
In this paper we calculate the leading divergences of the effective potential for an arbitrary scalar theory on a curved spacetime background. Based on the recurrence relation betw…
Three-loop chiral effective potential in the Wess-Zumino model
I. L. Buchbinder, R. M. Iakhibbaev, D. I. Kazakov +1
We calculate the three-loop contribution to the chiral effective potential in the massless Wess-Zumino model. It is shown that while the non-renormalisation theorem forbids diverge…
Effective potential in leading logarithmic approximation in non-renormalisable scalar field theories
R. M. Iakhibbaev, D. M. Tolkachev
The study of the effective potential for non-renormalisable scalar SO(N) symmetric theories leads to recurrence relations for the coefficients of the leading logarithms. These rela…
Generalising holographic fishchain
R. M. Iakhibbaev, D. M. Tolkachev
In this paper we present an attempt to generalise the integrable Gromov-Sever models, the so-called fishchain models, which are dual to biscalar fishnets. We show that in any dimen…
Leading all-loop quantum contribution to the effective potential in general scalar field theory
D. I. Kazakov, R. M. Iakhibbaev, D. M. Tolkachev
The RG equation for the effective potential in the leading log (LL) approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions. The solution t…
Dual Conformal Symmetry and Iterative Integrals in Six Dimensions
L. V. Bork, R. M. Iakhibbaev, D. I. Kazakov +1
In this article, we continue the investigation of hep-th 1611.02179 regarding iterative properties of dual conformal integrals in higher dimensions. In d=4, iterative properties of…
The Structure of UV Divergences in Maximally Supersymmetric Gauge Theories
A. T. Borlakov, D. I. Kazakov, D. M. Tolkachev +1
We consider the UV divergences up to sub-sub leading order for the four-point on-shell scattering amplitudes in D=8 supersymmetric Yang-Mills theory in the planar limit. We trace h…
Summation of all-loop UV Divergences in Maximally Supersymmetric Gauge Theories
A. T. Borlakov, D. I. Kazakov, D. M. Tolkachev +1
We consider the leading and subleading UV divergences for the four-point on-shell scattering amplitudes in D=6,8,10 supersymmetric Yang-Mills theories in the planar limit. These th…
Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions
L. V. Bork, D. I. Kazakov, M. V. Kompaniets +2
The main aim of this paper is to study the scattering amplitudes in gauge field theories with maximal supersymmetry in dimensions D=6,8 and 10. We perform a systematic study of the…