51 citations · 505 across the 50 of their papers we have counts for
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A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals
Mauricio Diaz, Ivan Gonzalez, Igor Kondrashuk +1
Mellin-Barnes integral representation of one-loop off-shell box massless diagram is five-fold by construction. On the other hand, it is known from the year 1992 that it may be redu…
Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
Igor Kondrashuk
We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling with splitting functions given at a…
Nearly perturbative lattice-motivated QCD coupling with zero IR limit
Cesar Ayala, Gorazd Cvetic, Reinhart Kogerler +1
The product of the gluon dressing function and the square of the ghost dressing function in the Landau gauge can be regarded to represent, apart from the inverse power corrections…
Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling
Gustavo Alvarez, Gorazd Cvetic, Bernd A. Kniehl +2
We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gau…
Explicit solutions for effective four- and five-loop QCD running coupling
Gorazd Cvetič, Igor Kondrashuk
We start with the explicit solution, in terms of the Lambert W function, of the renormalization group equation (RGE) for the gauge coupling in the supersymmetric Yang-Mills theory…
Semiclassical scattering amplitudes of dressed gravitons
Kyungsik Kang, Igor Kondrashuk
We consider effective action for the Einstein gravity and show that dressed mean fields are actual variables of the effective action. Kernels of this effective action expressed in…