### Abstract

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.

Original language | English |
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Pages (from-to) | 3102-3105 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 377 |

Issue number | 43 |

DOIs | |

Publication status | Published - 2013 Dec 9 |

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### Keywords

- Canonical quantization
- Nonconservative system
- Nonequilibrium
- Quantum field theory
- Reservoir model
- Thermo Field Dynamics

### ASJC Scopus subject areas

- Physics and Astronomy(all)