Migration of Unstable Vacuum for Dissipative Systems

Abstract

Quantum field theory is constructed upon the assumption of stabilities of the vacuum and of the one-particle state. For finite temperature, the one-particle state becomes unstable because of thermal fluctuations, whereas the thermal vacuum is still stable. In non-equilibrium situation, both the vacuum and the one-particle state lose their stability. Proposed is the introduction of the {\it reference vacuum} which takes care of thermal and non-adiabatic time-evolution of a system, and produces a time-dependent Fock's representation space. This may provide us with an extension of the concept of {\it dynamical mapping} where a migration among unitary inequivalent representation spaces can be handled for non-equilibrium and dissipative systems.