Derivation of Transport Equations using the Time-Dependent Projection Operator Method
High Energy Physics - Theory
2008-11-26 v2 Statistical Mechanics
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We develop a formalism to carry out coarse-grainings in quantum field theoretical systems by using a time-dependent projection operator in the Heisenberg picture. A systematic perturbative expansion with respect to the interaction part of the Hamiltonian is given, and a Langevin-type equation without a time-convolution integral term is obtained. This method is applied to a quantum field theoretical model, and coupled transport equations are derived.
Cite
@article{arxiv.hep-th/0110224,
title = {Derivation of Transport Equations using the Time-Dependent Projection Operator Method},
author = {Tomoi Koide},
journal= {arXiv preprint arXiv:hep-th/0110224},
year = {2008}
}
Comments
17 pages, Prog. Theor. Phys. in Press