4 papers
Elementary Particles in a New Quantum Scheme
S. S. Sannikov, A. A. Stanislavsky, M. J. T. F. Cabbolet
Proceeding from the main principles of the non-unitary quantum theory of relativistic bi-Hamiltonian systems, a system of Lagrangian fields characterized by a certain dispersion la…
Non-Fock Representations of Heisenberg Algebras
S. S. Sannikov, A. A. Stanislavsky
The purpose of this paper is to present the mathematical techniques of a new quantum scheme using a dual pair of reflexive topological vector spaces in terms of the non-Hermitian f…
Quantization of the Dirac Fibre: a New Way in the Particle Physics
S. S. Sannikov, A. A. Stanislavsky
The problem of ultraviolet divergences is analysed in the quantum field theory. It was found that it has common roots with the problem of cosmological singularity. In the context o…
Charge Renormalization in a New Kind of Non-Local Quantum Electrodynamics
S. S. Sannikov, A. A. Stanislavsky
The goal of this message is to calculate radiative corrections to the Sommerfeld fine structure constant in the framework of a new QED in which particles are described by bilocal f…