Functional differential equations for the free energy and the effective energy in the broken-symmetry phase of φ4-theory and their recursive graphical solution

Axel Pelster and Hagen Kleinert

Physica A: Statistical Mechanics and its Applications, 2003, vol. 323, issue C, 370-400

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:323:y:2003:i:c:p:370-400

DOI: 10.1016/S0378-4371(02)01932-5

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