Techniques for n-Particle Irreducible Effective Theories
Abstract
In this paper we show that the skeleton diagrams in the m-Loop nPI effective action correspond to an infinite resummation of perturbative diagrams which is void of double counting at the m-Loop level. We also show that the variational equations of motion produced by the n-Loop nPI effective theory are equivalent to the Schwinger-Dyson equations, up to the order at which they are consistent with the underlying symmetries of the original theory. We use a diagrammatic technique to obtain the 5-Loop 5PI effective action for a scalar theory with cubic and quartic interactions, and verify that the result satisfies these two statements.
Cite
@article{arxiv.1010.2978,
title = {Techniques for n-Particle Irreducible Effective Theories},
author = {M. E. Carrington and Yun Guo},
journal= {arXiv preprint arXiv:1010.2978},
year = {2015}
}
Comments
43 pages, 48 figures, add a paragraph in conclusions, Figs. 25,45,46 changed, typos corrected, final version to appear in PRD