Canonical Quantization for a Relativistic Neutral Scalar Field in Non-equilibrium Thermo Field Dynamics
High Energy Physics - Theory
2011-11-03 v2
Abstract
A relativistic neutral scalar field 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.
Keywords
Cite
@article{arxiv.1105.5952,
title = {Canonical Quantization for a Relativistic Neutral Scalar Field in Non-equilibrium Thermo Field Dynamics},
author = {Yuichi Mizutani and Tomohiro Inagaki and Yusuke Nakamura and Yoshiya Yamanaka},
journal= {arXiv preprint arXiv:1105.5952},
year = {2011}
}
Comments
20 pages, 2 figures