Canonical Quantization for a Relativistic Neutral Scalar Field in Non-Equilibrium Thermo Field Dynamics

被引:6
|
作者
Mizutani, Yuichi [1 ]
Inagaki, Tomohiro [2 ]
Nakamura, Yusuke [3 ]
Yamanaka, Yoshiya [3 ]
机构
[1] Hiroshima Univ, Dept Phys, Higashihiroshima 7398526, Japan
[2] Hiroshima Univ, Informat Media Ctr, Higashihiroshima 7398521, Japan
[3] Waseda Univ, Dept Elect & Photon Syst, Tokyo 1698555, Japan
来源
PROGRESS OF THEORETICAL PHYSICS | 2011年 / 126卷 / 04期
关键词
EINSTEIN CONDENSED STATES; BOLTZMANN-EQUATION; QUANTUM-FIELDS; FORMULATION; SCHEME;
D O I
10.1143/PTP.126.681
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A relativistic neutral scalar held is investigated in non-equilibrium thermo field dynamics. The canonical quantization is applied to the fields out of equilibrium. Because the thermal Bogoliubov transformation becomes time-dependent, the equations of motion for the ordinary unperturbed creation and annihilation operators are modified. This forces us to introduce a thermal counter term in the interaction Hamiltonian which generates additional radiative corrections. Imposing the self-consistency renormalization condition on the total radiative corrections, we obtain the quantum Boltzmann equation for the relativistic scalar field.
引用
收藏
页码:681 / 701
页数:21
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