From Classical Mechanics with Doubled Degrees of Freedom to Quantum Field Theory for Nonconservative System

Abstract

The $2\times 2$-matrix structure of Green's functions is a common feature for the real-time formalisms of quantum field theory under thermal situations, such as the closed time path formalism and Thermo Field Dynamics (TFD). It has been believed to originate from quantum nature. Recently, Galley has proposed the Hamilton's principle with initial data for nonconservative classical systems, doubling each degree of freedom [Phys. Rev. Lett. 110, 174301 (2013)]. We show that the Galley's Hamilton formalism can be extended to quantum field and that the resulting theory is naturally identical with nonequilibrium TFD.

8 pages

References in corpus (3)

• The classical mechanics of non-conservative systems
• From superoperator formalism to nonequilibrium Thermo Field Dynamics
• Unifying treatment of nonequilibrium and unstable dynamics of cold bosonic atom system with time-dependent order parameter in Thermo Filed Dynamics

Cited by in corpus (3)

• A new perspective to formulate a dissipative thermo field dynamics
• A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena
• Self-Energy Renormalization for Inhomogeneous Nonequilibrium Systems and Field Expansion via Complete Set of Time-Dependent Wave Functions