Many-Body Vacuum Diagrams and Their Recursive Graphical Construction

Details Many-Body Vacuum Diagrams and Their Recursive Graphical Construction Many-Body Vacuum Diagrams and Their Recursive Graphical Construction

2002-11-18

arxiv.org/abs/cond-mat/0211361v1

Physica Status Solidi B 237, 72-81 (2003)

Physics

Condensed Matter

Author Information under http://www.physik.fu-berlin.de/~pelster/

Scientific paper

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.

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