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
arXiv:hep-th/0006153 · doi:10.1016/S0378-4371(02)01932-5
Abstract
Extending recent work on QED and the symmetric phase of the euclidean multicomponent scalar ϕ^4-theory, we construct the vacuum diagrams of the free energy and the effective energy in the ordered phase of ϕ^4-theory. By regarding them as functionals of the free correlation function and the interaction vertices, we graphically solve nonlinear functional differential equations, obtaining loop by loop all connected and one-particle irreducible vacuum diagrams with their proper weights.
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- Recursive Graphical Construction for Feynman Diagrams and Their Weights in Ginzburg-Landau Theory
- Recursive Calculation of Effective Potential and Variational Resummation
- A novel approach to perturbative calculations for a large class of interacting boson theories
- Effective Action for the Scalar Field Theory with Higher Vertices