Recursive Graphical Construction for Feynman Diagrams and Their Weights in Ginzburg-Landau Theory
arXiv:hep-th/0107017 · doi:10.1016/S0378-4371(02)00858-0
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.
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References in corpus (3)
- Functional Closure of Schwinger-Dyson Equations in Quantum Electrodynamics, Part 1: Generation of Connected and One-Particle Irreducible Feynman Diagrams
- Three-Loop Ground-State Energy of O(N)-Symmetric Ginzburg-Landau Theory Above T_c in 4-epsilon Dimensions with Minimal Subtraction
- Two-Loop Effective Potential of O(N)-Symmetric Scalar QED in 4-epsilon Dimensions
Cited by in corpus (6)
- Recursive Schr\" odinger Equation Approach to Faster Converging Path Integrals
- Recursive Graphical Solution of Closed Schwinger-Dyson Equations in phi^4-Theory -- Part1: Generation of Connected and One-Particle Irreducible Feynman Diagrams
- Many-Body Vacuum Diagrams and Their Recursive Graphical Construction
- A novel approach to perturbative calculations for a large class of interacting boson theories
- Effective Action for the Scalar Field Theory with Higher Vertices
- Two-Loop Effective Potential of O(N)-Symmetric Scalar QED in 4-epsilon Dimensions