Many-Body Vacuum Diagrams and Their Recursive Graphical Construction
Condensed Matter
2015-06-24 v1
Abstract
The grand-canonical potential of many-body physics can be considered as a functional of the interaction-free correlation function. As such it obeys a nonlinear functional differential equation which can be turned into a recursion relation. This is solved graphically order by order in the two-particle interaction to find all connected vacuum diagrams with their proper weights. As a special case, the procedure is applied to generate the Hugenholtz diagrams for a weakly interacting Bose gas.
Cite
@article{arxiv.cond-mat/0211361,
title = {Many-Body Vacuum Diagrams and Their Recursive Graphical Construction},
author = {Axel Pelster and Konstantin Glaum},
journal= {arXiv preprint arXiv:cond-mat/0211361},
year = {2015}
}
Comments
Author Information under http://www.physik.fu-berlin.de/~pelster/