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
UR - http://www.scopus.com/inward/record.url?scp=84886722636&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84886722636&partnerID=8YFLogxK
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 -