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arXiv · 1111.7083

Non-Equilibrium Thermo Field Dynamics for Relativistic Complex Scalar and Dirac Fields

Yuichi Mizutani·Tomohiro Inagaki
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Abstract

Relativistic quantum field theories for complex scalar and Dirac fields are investigated in non-equilibrium thermo field dynamics. The thermal vacuum is defined by the Bogoliubov transformed creation and annihilation operators. Two independent Bogoliubov parameters are introduced for a charged field. Its difference naturally induces the chemical potential. Time-dependent thermal Bogoliubov transformation generates the thermal counter terms. We fix the terms by the self-consistency renormalization condition. Evaluating the thermal self-energy under the self-consistency renormalization condition, we derive the quantum Boltzmann equations for the relativistic fields.

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Yuichi Mizutani, Tomohiro Inagaki. 2011-11-30. Non-Equilibrium Thermo Field Dynamics for Relativistic Complex Scalar and Dirac Fields. https://doi.org/10.1142/s0217751x12500789

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