Thursday, May 3, 2012

1111.7083 (Yuichi Mizutani et al.)

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

Yuichi Mizutani, Tomohiro Inagaki
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.
View original: http://arxiv.org/abs/1111.7083

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