NONEQUILIBRIUM THERMO FIELD DYNAMICS FOR RELATIVISTIC COMPLEX SCALAR AND DIRAC FIELDS
2012 ◽
Vol 27
(14)
◽
pp. 1250078
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Keyword(s):
The Self
◽
Relativistic quantum field theories for complex scalar and Dirac fields are investigated in nonequilibrium 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 counterterms. 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.
Self-Consistent Calculation of Particle-Hole Diagrams on the Matsubara Frequency: Flex Approximation
1997 ◽
Vol 08
(05)
◽
pp. 1145-1158
Keyword(s):
The Self
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1994 ◽
Vol 09
(07)
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pp. 1153-1180
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1995 ◽
Vol 10
(11)
◽
pp. 1693-1700
◽
1983 ◽
Vol 131
(4-6)
◽
pp. 445-449
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