Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations

Details Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations

2001-02-19

arxiv.org/abs/nucl-th/0102044v1

Annals Phys.293:126-146,2001

Physics

Nuclear Physics

Nuclear Theory

26 pages, feynman.package for diagrams, submitted to Annals of Physics

Scientific paper

10.1006/aphy.2001.6185

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.

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