@article { , title = {Vertex functions and their flow equations from the 2PI effective action}, abstract = {By exploiting the convexity of the two-particle-irreducible 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 Alexander et al 2021 Phys. Rev. D 104 069906; Millington and Saffin 2021 J. Phys. A: Math. Theor. 54 465401), and clarify the relationship between the flow equations for coupling parameters and vertices.}, doi = {10.1088/1751-8121/ac99ae}, eissn = {1751-8121}, issn = {1751-8113}, issue = {43}, journal = {Journal of Physics A: Mathematical and Theoretical}, publicationstatus = {Published}, publisher = {IOP Publishing}, url = {https://nottingham-repository.worktribe.com/output/14033313}, volume = {55}, keyword = {Paper, Field theory and string theory, quantum effective action, functional renormalization group, exact flow equations}, year = {2022}, author = {Millington, Peter and Saffin, Paul M.} }