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

页码：681 / 701

页数：21

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