Vertex functions and their flow equations from the 2PI effective action
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL(2022)
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.
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Key words
quantum effective action, functional renormalization group, exact flow equations
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