TY - JOUR

T1 - From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems

AU - Kuwahara, Y.

AU - Nakamura, Y.

AU - Yamanaka, Y.

N1 - Funding Information:
The authors thank Prof. S. Abe at Mie University for communicating us Galleyʼs paper. This work is partly supported by Grant-in-Aid for Scientific Research (C) (No. 25400410 ) from the Japan Society for the Promotion of Science, Japan, and by Waseda University Grant for Special Research Projects (Project No. 2013A-876 ).

PY - 2013/12/9

Y1 - 2013/12/9

N2 - The 2×2-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 [1]. 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.

AB - The 2×2-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 [1]. 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.

KW - Canonical quantization

KW - Nonconservative system

KW - Nonequilibrium

KW - Quantum field theory

KW - Reservoir model

KW - Thermo Field Dynamics

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U2 - 10.1016/j.physleta.2013.10.001

DO - 10.1016/j.physleta.2013.10.001

M3 - Article

AN - SCOPUS:84886722636

SN - 0375-9601

VL - 377

SP - 3102

EP - 3105

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 43

ER -