Development of quantum field theory methods for
statistical physics problems.
Quantum field theory methods are necessary for strongly nonlinear
problems of statistical physics. Here one deals with systems with the
infinite number of degrees of freedom, as far as in the quantum field
theory. The theory of fully developed turbulence is an example of a
problem of that type. The wellknown NavierStokes equation demonstrates
the lost of stability of the solution at large velocities. Here the
interacting eddies are born in liquid, these affect essentially the
mean velocity of liquid. The problem to be solved is the description of
probability distribution of the eddies.
With the essentially nonlinear processes one deals also while one
investigates critical phenomena, waves propagation in critical media,
Goldstone singularities, nonlinear plasma phenomena. The strong
fluctuations and infinite correlation radius take places in all these
systems.
Nonlinear Schwinger equations, functional Legendre transforms,
quantum field perturbation expansions, quantum field renormalization
group methods, instanton analysis and other methods of quantum field
theory are used for the description of the systems mentioned.
People who work in this field:
D. Sc. professor Loran Adzhemyan
D. Sc. professor Mikhail Nalimov
Ph. D. docentr Marina Komarova
