Recursive graphical construction of Feynman diagrams and their weights in Ginzburg–Landau theory

H. Kleinert, A. Pelster and B. Van den Bossche

Physica A: Statistical Mechanics and its Applications, 2002, vol. 312, issue 1, 141-152

Abstract: 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.

Keywords: Statistical physics; Phase transitions; Superconductors (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:312:y:2002:i:1:p:141-152

DOI: 10.1016/S0378-4371(02)00858-0

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