Preliminary results from the 4PI Effective Action

Details Preliminary results from the 4PI Effective Action Preliminary results from the 4PI Effective Action

2012-02-14

arxiv.org/abs/1202.3165v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

The renormalizability of the 4-Loop 4PI effective action is studied in the new version. 25 pages, 25 figures

Scientific paper

We study the renormalizability of the 4-Loop 4PI effective action in a symmetric scalar theory with quartic coupling. We show that the self-consistently determined 2-point and 4-point functions can be renormalized using a coupling constant counter-term in the Lagrangian of the original theory. We do a numerical lattice calculation to obtain solutions in a toy 2-dimensional model. The self-consistent solutions for the 2-point and 4-point functions agree well with the perturbative ones when the coupling is small. When the coupling is large, perturbative calculations break down, but the self-consistent solution is well behaved.

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