SVZ sum rules : 30 + 1 years later

TL;DR

This paper reviews the 30+ years of development and application of SVZ sum rules in QCD, highlighting historical evolution and recent advancements in the field.

Contribution

It provides a comprehensive overview of the evolution, key developments, and current status of SVZ sum rules in hadron physics over three decades.

Findings

Summarizes the historical progress of SVZ sum rules.

Highlights recent methodological advancements.

Emphasizes the broad impact on hadron physics.

Abstract

For this exceptional 25th anniversary of the QCD-Montpellier series of conferences initiated in 85 with the name "Non-perturbative methods", we take the opportunuity to celebrate the 30 + 1 years of the discovery of the SVZ (also called ITEP, QCD or QCD spectral) sum rules by M.A. Shifman, A.I. Vainshtein and V.I. Zakahrov in 79 [1]. In this talk, I have the duty to present the status of the method. I shall (can) not enumerate the vast area of successful applications of sum rules in hadron physics but I shall focus on the historical evolution of field and its new developments. More detailed related discussions and more complete references can be found in the textbooks [2,3].