We establish a correspondence between ultraviolet singularities of soft factors for multiparticle production and rapidity singularities of soft factors for multiparton scattering. This correspondenceâ€¦ (More)

A regular way to define an additive coproduct (or coaddition) on the q-deformed differential complexes is proposed for quantum groups and quantum spaces related to the Hecke-type R-matrices. Severalâ€¦ (More)

We define a noncommutative algebra of four basic objects within a differential calculus on quantum groups â€“ functions, 1-forms, Lie derivatives, and inner derivations â€“ as the crossproduct algebraâ€¦ (More)

We report some observations concerning two well-known approaches to construction of quantum groups. Thus, starting from a bialgebra of inhomogeneous type and imposing quadratic, cubic or quarticâ€¦ (More)

We suggest the modification of the standard approach to TMDs. The modification consists in the consideration of the small bT operator product expansion in the different operator basis. Instead ofâ€¦ (More)

Miguel G. Echevarria, Ignazio Scimemi, and Alexey Vladimirov Nikhef Theory Group, Science Park 105, 1098XG Amsterdam, The Netherlands Department of Physics and Astronomy, VU University Amsterdam, Deâ€¦ (More)

* We suggest a novel way of matching the non-perturbative part of TMD with the perturbative part aimed to increase the amount of perturbative information in the TMD PDF expression. For that weâ€¦ (More)

At large number of colors, Nc quarks in baryons are in a mean field of definite space and flavor symmetry. We write down the general Lorentz and flavor structure of the mean field, and derive theâ€¦ (More)

Alexey A. Vladimirov and Dmitri Diakonov 1 Ruhr-UniversitÃ¤t Bochum, Bochum D-44780, Germany 2 Petersburg Nuclear Physics Institute, Gatchina 188300, St. Petersburg, Russia 3 St. Petersburg Academicâ€¦ (More)

Explicit isomorphism is established between quasitriangular Hopf algebras studied recently by O.Ogievetsky and by the present author. In my recent papers [1, 2] a regular method has been proposed forâ€¦ (More)