Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method

Abstract

The development of methods of construction of the theory of nonequilibrium processes for finite-temperature quantum-field systems is one of the important directions of modern theoretical physics. The modern methods of quantum field theory [1-8], on the one hand, and nonequilibrium statistical mechanics [9-16] on the other, are powerful tools in investigations of interacting quantum fields and particles. The unification of these methods can be helpful and have significant influence on the solution of many problems in the study of nonequilibrium states of finite-temperature quantum-field systems. In earlier years, the methods of quantum field theory (Green's function method, renormalization-group method) were helpful in statistical mechanics [17-20] (for example, in the theory of magnetism [21], in the theory of phase transitions [22,23]).