1 citations · 1 across the 8 of their papers we have counts for
8 papers
Factorization of the Lorentz transformations
Konstantin Karplyuk, Myroslav Kozak, Oleksandr Zhmudskyy
The article shows how the factorization of an arbitrary Lorentz transformation is performed. That is, representation of an arbitrary Lorentz transformation as a sequence of spatial…
The spin group of fermions
K. S. Karplyuk, O. O. Zhmudskyy
It was shown that in the small Wigner group there is a one-parameter subgroup of the Lorentz transformations, which leave unchanged not only the momentum of the fermion with spin h…
An alternative description of the weak lepton interaction
Konstantin Karplyuk, Oleksandr Zhmudskyy
The description of the massive vector- and pseudo-vector bosons is proposed, which allows the use of them as interaction carriers. The boson propagators guarantee the renormalizabi…
Hypercomplex representation of the Lorentz's group
Konstantin Karplyuk, Oleksandr Zhmudskyy
Lorentz's group represented by the hypercomplex system of numbers, which is based on dirac matrices, is investigated. This representation is similar to the space rotation represent…
The universal expression for the amplitude square in quantum electrodynamics
K. S. Karplyuk, O. O. Zhmudskyy
The universal expression for the amplitude square |u_f M u_i|^2 for any matrix of interaction M is derived. It has obvious covariant form. It allows the avoidance of calculation of…
The hypercomplex equations for fermion interaction description
K. S. Karplyuk, O. O. Zhmudskyy
Equations are proposed for the description of the fermion interaction via massive and massless bosons. These equations lead to the propagators which maintain theory renormalization…