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

Physics – High Energy Physics – High Energy Physics - Theory

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Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html Latest update of paper also at http://www

Scientific paper

10.1016/S0378-4371(02)01932-5

Extending recent work on QED and the symmetric phase of the euclidean multicomponent scalar \phi^4-theory, we construct the vacuum diagrams of the free energy and the effective energy in the ordered phase of \phi^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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