Nonperturbative quantization a la Heisenberg

Seminars

Seminar “Seminar of Hadron Physics”


On Wednesday, 8 June 2016, at 11.00 am in the Blokhintsev Hall (4 floor) of BLTP a seminar “Nonperturbative quantization a la Heisenberg” will be held.

Speaker: Vladimir Dzhunushaliev (Al-Farabi Kazakh National University, Almaty, Kazakhstan)

Abstract:

The procedure of nonperturbative (NP) quantization a la Heisenberg is considered. NP quantization is based on a operator field equation for corresponding field theory. For example, for quantum chromodynamics (QCD) it will be Yang – Mills equation where all quantities becomes operators. We have not any prescriptions to solve such equation. In order to do that we use a set of equations for all possible Green’s functions. All Green’s functions give us full information about the quantum state and field operators properties. Practically such equations set can not be solved analytically and we have to use some approximation method. The approximate approach for a NP quantization being suggested here is to derive approximations for unknown Green’s functions using the properties of the quantum system under consideration so that a sufficient number of equations exists. In making such approximations, we close an infinite set of equations for the Green’s functions. The comparison with turbulence modeling is performed.

Talk presentation