[en] We discuss some properties of the W- boson using spectral function sum rules within the framework of constituent models of quantum haplo-dynamics (QHD). Contraints on the W- decay amplitude and so on its mass and total width have been derived. The results may give a test on possible aspects of this model of electroweak interactions

[en] We evaluate the two photon width of the delta(980) using three-point function sum rules which are able to predict accurately the anomalous π⁰→γγ and non-anomalous delta→etaπ decay rates. The prediction, though smaller than previous results based on vector meson dominance, is still higher than the present Crystal Ball data. An analysis of the three-point function with one gluon exchange cannot support previous successful explanation of the data within the four-quark scheme. (author)

[en] Results from current algebra and QCD spectral sum rules (QSSR) in different hadronic channels within τ or n (sum rule variable) and t_c (continuum threshold) stability criterions or (and) t_c-values fixed from FESR are combined to give improved estimates of the light (u, d, s) and heavy (c, b) quark masses. In particular, the weighted averages of the s and b quark mass values are (unavoidably) accurate: m-bar_s(1GeV)=(159.5±8.8)MeV and M_b(q²=M²_b)=(4.58±0.05)GeV. Pion (resp. kaon) PCAC violations of (5±0.5)%(resp.(36.5±7.5)%) are observed while the values of the quark condensate ratios are: < d-bar d>/< u-bar u>=1.-9 10^-3 and /u-bar u>=(0.6±0.1). These confirm and improve earlier QSSR estimates and provide an indirect support of the q-bar q nature of the a₀(0.98) and K*₀(1.35). Values of the ''current'' running masses of the c, b quarks are presented. Attempts to give the values of the light quark ''perturbative constituent'' masses are done. (author). 30 refs

[en] Bounds on the π and K meson decay amplitudes are obtained to a good accuracy from QCD sum rules of the Laplace transform type. A relation between fsub(π) and the rho meson coupling to the photon is given. Using the heavy quarks q²=0 sum rule to two loops we find our best bounds: fsub(D) approximately < (101+-25) MeV and fsub(F) approximately < (147+-41.6) MeV to be compared to fsub(π) approximately 93.3 MeV. We also derive a relation between the D and F meson masses and the charm quark mass. Our results are extended to the beautiful B mesons. (author)

[en] We get upper bound of the gluon component of the U(1)sub(A) meson mass using QCD sum rules of the Laplace transform type to the two-point functions associated to the divergence of the U(1)sub(A) current in the chiral limit. For Λ is approximately equal to 70 is approximately 210 MeV and fsub(eta') is approximately equal to (0.5 is approximately 0.7) sqrt 3 fsub(π), we obtain Msub(G) is approximately smaller to (0.6 is approximately 0.85) GeV, which indicates an important gluon contribution to the eta' mass. (author)

[en] The mass-dependence of the theoretical contributions to a charged heavy lepton-anomalous magnetic moment is studied. In particular it is shown that the weak interactions effects in the Weinberg-Salam model become very important and are greater than the hadronic effects for a mass of the heavy lepton >or equal to 5 GeV. In order to illustrate the analysis, the theoretical value of the anomalous magnetic moment of the new charged lepton tau(1.9 GeV) is given. The theoretical implications of an eventual measurement of the anomaly of a charged heavy lepton are also discussed

[en] We re-evaluate the quark condensate renormalization group invariant term (msub(u)+msub(i)) < 0|anti psisub(u) psisub(u) + anti spisub(i) psisub(i)|0 >i is identical to d, s, using QCD sum rules of the Laplace transform type to two-loops. It is shown that the PCAC result is respected for the u,d quarks but is violated by a factor 30 to 44% for the u,s quarks. Using the recent estimates of the invariant quark masses msub(u) + msub(d) and msub(u) + msub(s), we extract bounds on the spontaneous masses μsub(i) defined to one loop as: <0|anti psisub(i) psisub(i)|0>(Q²)=(-μsub(i))³.(log Q/Λ)sup(12/(33-21) for SU(3)sub(C) x SU(n)sub(F). (author)

[en] We consider the Laplace transform of various sum rules of the Weinberg type including the leading non-perturbative effects. We show from the third type Weinberg sum rules that 7.5 to 8.9 < or approx. msub(s)-circumflex/msub(d)-circumflex < or approx. 22.5 to 26.6 for the sum rule scale value M approx.= Msub(rho) of the order of Msub(phi). We also deduce an upper bound to the by-product msub(u)-circumflex msub(d)-circumflex of light quark invariant masses. The first Weinberg sum rule allows us to get a lower bound on fsub(π) and on the A₁ coupling to the W boson, while the second sum rule gives an upper bound on the A₁ mass (Msub(A₁) < or approx. 1.25 GeV). (author)

[en] This book gives an introduction to the method of QCD spectral sum rules (QSSR) and reviews its developments. Chiral symmetry, the historical developments of the sum rules and the necessary materials for perturbative QCD including the MS regularization and renormalization schemes are discussed. Some alternative approaches to Hadron Physics are recalled and the theoretical aspects of the Shifman-Vainshtein-Zakharov (SVZ) expansion a La Wilson (validity, vacuum condensates evaluation of the Wilson coefficients) are concentrated on. The rest of the book is devoted to a critical review and to some improvements of the wide uses of the QSSR in hadron physics (light and heavy mesons, baryons, gluonia and exotics, KK systems and form factors) and QSSR beyond the standard hadron phenomenology (QCD at non-zero temperature, composite models of electroweak interactions)

[en] We discuss the relation between the usual dispersion relation sum rules and the Laplace transform type sum rules in quantum chromodynamics. Two specific examples corresponding to the S-coupling constant sum rule and the light quark masses sum rules are considered. An interpretation, within QCD, of Leutwyler's formula for the current algebra quark masses is also given