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Prog. Theor. Phys. Vol. 125 No. 5 (2011) pp. 933-955

[ Full Text PDF : FREE ACCESS (398K) ]

Boltzmann Equation for Relativistic Neutral Scalar Field in Non-Equilibrium Thermo Field Dynamics

Yuichi Mizutani1 and Tomohiro Inagaki2

1Department of Physics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
2Information Media Center, Hiroshima University, Higashi-Hiroshima 739-8521, Japan

(Received November 1, 2010; Revised February 9, 2011)

Abstract:

A relativistic neutral scalar field is investigated on the basis of the Schwinger-Dyson equation in the non-equilibrium thermo field dynamics. A time evolution equation for a distribution function is obtained from a diagonalization condition for the Schwinger-Dyson equation. An explicit expression of the time evolution equation is calculated in the λφ4 interaction model at the 2-loop level. The Boltzmann equation is derived for the relativistic scalar field. We set a simple initial condition and numerically solve the Boltzmann equation and show the time evolution of the distribution function and the relaxation time.

Subject Index : 058, 139
URL : http://ptp.ipap.jp/link?PTP/125/933/
DOI : 10.1143/PTP.125.933

[ Full Text PDF : FREE ACCESS (398K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 126 No. 4 (2011) pp. 681-701 :
    Canonical Quantization for a Relativistic Neutral Scalar Field in Non-Equilibrium Thermo Field Dynamics
    Yuichi Mizutani, Tomohiro Inagaki, Yusuke Nakamura and Yoshiya Yamanaka

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