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

被引：4
|
作者：
Mizutani, Yuichi [1 ]
Inagaki, Tomohiro [2 ]
机构：
[1] Hiroshima Univ, Dept Phys, Higashihiroshima 7398526, Japan
[2] Hiroshima Univ, Informat Media Ctr, Higashihiroshima 7398521, Japan
来源：
PROGRESS OF THEORETICAL PHYSICS | 2011年 / 125卷 / 05期
关键词：
GENERAL STRUCTURE; FORMULATION; SCHEME;
D O I：
10.1143/PTP.125.933
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 lambda phi(4) 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.
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页码：933 / 955
页数：23
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