Benchmarking regulator-sourced 2PI and average 1PI flow equations in zero dimensions

Millington, Peter; Saffin, Paul M.

Abstract

We elucidate the regulator-sourced 2PI and average 1PI approaches for deriving exact flow equations in the case of a zero dimensional quantum field theory, wherein the scale dependence of the usual renormalisation group evolution is replaced by a simple parametric dependence. We show that both approaches are self-consistent, while highlighting key differences in their behaviour and the structure of the would-be loop expansion.

Citation

Millington, P., & Saffin, P. M. (2021). Benchmarking regulator-sourced 2PI and average 1PI flow equations in zero dimensions. Journal of Physics A: Mathematical and Theoretical, 54(46), Article 465401. https://doi.org/10.1088/1751-8121/ac2d00

• Journal Article Type: Article
• Acceptance Date: Oct 1, 2021
• Online Publication Date: Oct 25, 2021
• Publication Date: Nov 19, 2021
• Deposit Date: Oct 8, 2021
• Publicly Available Date: Oct 25, 2021
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 54
• Issue: 46
• Article Number: 465401
• DOI: https://doi.org/10.1088/1751-8121/ac2d00
• Public URL: https://nottingham-repository.worktribe.com/output/6397128
• Publisher URL: https://iopscience.iop.org/article/10.1088/1751-8121/ac2d00