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

DOI10.1016/S0378-4371(02)00858-0zbMath0997.81071arXivhep-th/0107017MaRDI QIDQ1611149

Hagen Kleinert, B. Van den Bossche, Axel Pelster

Publication date: 21 August 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0107017

zbMATH Keywords

free energyloop expansionnonlinear functional differential equation

Mathematics Subject Classification ID

Feynman diagrams (81T18) Statistical mechanics of superconductors (82D55) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Functional differential equations for the free energy and the effective energy in the broken-symmetry phase of \(\phi^4\)-theory and their recursive graphical solution ⋮ General formula for symmetry factors of Feynman diagrams ⋮ A novel approach to perturbative calculations for a large class of interacting boson theories ⋮ Two-loop effective potential of \(O(N)\)-symmetric scalar QED in \(4-\varepsilon\) dimensions

Cites Work

• Functional closure of Schwinger-Dyson equations in quantum electrodynamics. 1: Generation of connected and one-particle irreducible Feynman diagrams
• Functional differential equations for the free energy and the effective energy in the broken-symmetry phase of \(\phi^4\)-theory and their recursive graphical solution
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