Functional Differential Equations for the Free Energy and the Effective Energy in the Broken-Symmetry Phase of phi4-Theory and Their Recursive Graphical Solution
A. Pelster, H. Kleinert
Abstract
Extending recent work on QED and the symmetric phase of the euclidean multicomponent scalar ϕ4-theory, we construct the vacuum diagrams of the free energy and the effective energy in the ordered phase of ϕ4-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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