Quantum field theory in curved space-time as thermo field dynamics

Mathematics – Logic

Scientific paper

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Scientific paper

The strong analogy between states defined in the context of quantum field theory in curved space-time (QFT-CST) and the ones defined in the thermo field dynamics (TFD) of Takahashi and Umezawa [1] is shown. This analogy is useful in order to introduce the entropy operator in CST in the same way as in TFD. When the extremum condition in the thermodynamical potential is imposed, a family of Bogoliubov transformations that give us a planckian spectrum is found, even in “pathological” cases such as the minimally coupled scalar field.

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