Vertex functions and their flow equations from the 2PI effective action
High Energy Physics - Theory
2022-11-22 v2
Abstract
By exploiting the convexity of the two-particle-irreducible (2PI) effective action, we describe a procedure for extracting n-point vertex functions. This procedure is developed within the context of a zero-dimensional "quantum field theory" and subsequently extended to higher dimensions. These results extend the practicability and utility of a recent, alternative approach to the functional renormalization group programme [see arXiv:1907.06503; arXiv:2107.12914], and clarify the relationship between the flow equations for coupling parameters and vertices.
Cite
@article{arxiv.2206.08865,
title = {Vertex functions and their flow equations from the 2PI effective action},
author = {Peter Millington and Paul M. Saffin},
journal= {arXiv preprint arXiv:2206.08865},
year = {2022}
}
Comments
16 pages, revtex format; corrections in line with the published version