Canonical quantization for a relativistic neutral scalar field in non-equilibrium thermo field dynamics

Yuichi Mizutani, Tomohiro Inagaki, Yusuke Nakamura, Yoshiya Yamanaka

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A relativistic neutral scalar field is investigated in non-equilibrium thermo field dynamics. The canonical quantization is applied to the fields out of equilibrium. Because the thermal Bogoliubov transformation becomes time-dependent, the equations of motion for the ordinary unperturbed creation and annihilation operators are modified. This forces us to introduce a thermal counter term in the interaction Hamiltonian which generates additional radiative corrections. Imposing the self-consistency renormalization condition on the total radiative corrections, we obtain the quantum Boltzmann equation for the relativistic scalar field.

Original languageEnglish
Pages (from-to)681-701
Number of pages21
JournalProgress of Theoretical Physics
Issue number4
Publication statusPublished - 2011 Oct 1


ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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