Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations
Nuclear Theory
2011-08-12 v1 Statistical Mechanics
High Energy Physics - Phenomenology
Quantum Physics
Abstract
It is shown that the Kadanoff-Baym equations at consistent first-order gradient approximation reveal exact rather than approximate conservation laws related to global symmetries of the system. The conserved currents and energy-momentum tensor coincide with corresponding Noether quantities in the local approximation. These exact conservations are valid, provided a Phi-derivable approximation is used to describe the system, and possible memory effects in the collision term are also consistently evaluated up to first-order gradients.
Keywords
Cite
@article{arxiv.nucl-th/0102044,
title = {Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations},
author = {J. Knoll and Yu. B. Ivanov and D. N. Voskresensky},
journal= {arXiv preprint arXiv:nucl-th/0102044},
year = {2011}
}
Comments
26 pages, feynman.package for diagrams, submitted to Annals of Physics