SVZ sum rules : 30 + 1 years later

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].

8 pages, 1 figure, 4 tables, talk given at QCD 10 (15th international QCD-Montpellier conference) for the celebration of the 25th anniversary of the QCD series of Montpellier conference and of the 30+1 years discovery of the SVZ sum rules

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• Improved light quark masses from pseudoscalar sum rules
• Nature of the X(5568) : a critical Laplace sum rule analysis at N2LO
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• Hadronic vacuum polarization function within dispersive approach to QCD
• Study of Doubly Heavy Baryon Spectrum via QCD Sum Rules
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules
• Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$
• The $\rho$-meson longitudinal leading-twist distribution amplitude within QCD background field theory
• Study of $\mathbf{D}\to {\mathbf{a}}_0(980){\mathbf{e}}^{+}{\mathbf{\nu }}_{\mathbf{e}}$ decay in the light-cone sum rules approach
• Dispersive derivation of the pion distribution amplitude
• NLO effects for ${\Omega }_{QQQ}$ Baryons in QCD Sum Rules
• Implications of unitarity and analyticity for the Dπform factors
• A comprehensive revisit of the $\rho$ meson with improved Monte-Carlo based QCD sum rules
• Slope of the topological charge, proton spin and $0^{-+}$ pseudoscalar di-gluonia spectra
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• Nonlocal gluon condensates in QCD sum rules
• Mixing of X and Y states from QCD Sum Rules analysis
• Tests of the Z_c-like Laplace Sum Rule (LSR) results using FESR at NLO