Recursive Graphical Construction for Feynman Diagrams and Their Weights in Ginzburg-Landau Theory

Details Recursive Graphical Construction for Feynman Diagrams and Their Weights in Ginzburg-Landau Theory Recursive Graphical Construction for Feynman Diagrams and Their Weights in Ginzburg-Landau Theory

2001-07-03

arxiv.org/abs/hep-th/0107017v1

Physica A312 (2002) 141-152

Physics

High Energy Physics

High Energy Physics - Theory

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html Latest update of paper also at http://www

Scientific paper

The free energy of the Ginzburg-Landau theory satisfies a nonlinear
functional differential equation which is turned into a recursion relation. The
latter is solved graphically order by order in the loop expansion to find all
connected vacuum diagrams, and their corresponding weights. In this way we
determine the connected vacuum diagrams and their weights up to four loops.

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