Vertex functions and their flow equations from the 2PI effective action

Millington, Peter; Saffin, Paul M.

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.

Citation

Millington, P., & Saffin, P. M. (2022). Vertex functions and their flow equations from the 2PI effective action. Journal of Physics A: Mathematical and Theoretical, 55(43), Article 435402. https://doi.org/10.1088/1751-8121/ac99ae

• Journal Article Type: Article
• Acceptance Date: Oct 12, 2022
• Online Publication Date: Nov 17, 2022
• Publication Date: Oct 28, 2022
• Deposit Date: Nov 23, 2022
• Publicly Available Date: Nov 23, 2022
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 55
• Issue: 43
• Article Number: 435402
• DOI: https://doi.org/10.1088/1751-8121/ac99ae
• Keywords: Paper, Field theory and string theory, quantum effective action, functional renormalization group, exact flow equations
• Public URL: https://nottingham-repository.worktribe.com/output/14033313
• Publisher URL: https://iopscience.iop.org/article/10.1088/1751-8121/ac99ae