### Browsing by Author "Dominguez, C A"

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- ItemOpen AccessApplications of QCD sum rules at finite temperature(2013) Zhang, Yingwen; Dominguez, C A; Peshier, AQCD Sum Rules is one of the most successful quantum field theory frameworks to extract hadronic information from QCD analytically. This technique is based on the Operator Product Expansion (OPE) and Cauchy's Theorem in the complex energy plane. OPE factorizes the short and long distance interactions where the former are calculated using perturbative theory, and the latter are parameterized in terms of the quark and gluon vacuum condensates. By using Cauchy's theorem, the results from QCD calculations can be matched to the hadronic channel, this is known as 'quark-hadron duality'. My Project involves using QCD Sum Rules to determine the behaviour of hadronic parameters of charmonium in the scalar and pseudoscalar channel and also light-light quark mesons in the vector and axial-vector channel at finite temperature. From our results of the behaviour of the width and the hadronic coupling at finite temperature, both channels of charmonium shows signs of survival beyond the deconfinement temperature Tc whereas the light-light quark mesons disappears at Tc. An extension of the method to finite density in. the axial-vector channel of light-light quark mesons also shows signs of disappearance at the deconfinement density μc.
- ItemOpen AccessFinite energy chiral sum rules in QCD(2004) Dominguez, C A; Schilcher, KThe saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V–A). The sum rules exhibit poor saturation up to current energies below the tau-lepton mass. A remarkable improvement is achieved by introducing integral kernels that vanish at the upper limit of integration. The method is used to determine the value of the finite remainder of the V–A correlator, and its first derivative, at zero momentum: Π(¯ 0) = −4L¯ 10 = 0.0257 ± 0.0003, and Π¯ (0) = 0.065 ± 0.007 GeV−2. The dimension d = 6 and d = 8 vacuum condensates in the operator product expansion are also determined: O6=−(0.004 ± 0.001) GeV6, and O8=−(0.001 ± 0.006) GeV8.
- ItemOpen AccessLight Quark Masses from QCD Finite Energy Sum Rules(2019) Mes, Alexes K; Dominguez, C A; Schilcher, KDue to quark-gluon confinement in QCD, the quark masses entering the QCD Lagrangian cannot be measured with the same techniques one would use to determine the mass of non-confined particles. They must be determined either numerically from Lattice QCD, or analytically using QCD sum rules. The latter makes use of the complex squared energy plane, and Cauchy’s theorem for the correlator of axial-vector divergences. This procedure relates a QCD expression containing the quark masses, with an hadronic expression in terms of known hadron masses, couplings, and lifetimes/widths. Thus, the quark masses become a function of known hadronic information. In this dissertation, the light quark masses are determined from a QCD finite energy sum rule, using the pseudoscalar correlator to six-loop order in perturbative QCD, with the leading vacuum condensates and higher order quark mass corrections included. The systematic uncertainties stemming from the hadronic resonance sector are reduced, by introducing an integration kernel in the Cauchy integral in the complex squared energy plane. Additionally, the issue of convergence of the perturbative QCD expression for the pseudoscalar correlator is examined. Both the fixed order perturbation theory (FOPT) method and contour improved perturbation theory (CIPT) method are explored. Our results from the latter exhibit good convergence and stability in the window s0 = 3.0 − 5.0 GeV2 for the strange quark and s0 = 1.5 − 4.0 GeV2 for the up and down quarks; where s0 is the radius of the integration contour in the complex s-plane. The results are: ms(2 GeV) = 91.8 ± 9.9 MeV, mu(2 GeV) = 2.6 ± 0.4 MeV, md(2 GeV) = 5.3 ± 0.4 MeV, and the sum mud ≡ (mu + md)/2, is mud(2 GeV) = 3.9 ± 0.3 MeV. They compare favourably to the PDG and FLAG world averages. Further in this dissertation the updated series expansion of the quark mass renormalization group equation (RGE) to five-loop order is derived. The series provides the relation between a light quark mass in the modified minimal subtraction (MS) scheme defined at some given scale, e.g. at the tau-lepton mass scale, and another chosen energy scale, s. This relation explicitly depicts the renormalization scheme dependence of the running quark mass on the scale parameter, s, and is important in accurately determining a light quark mass at a chosen scale. The five-loop QCD β(as) and γ(as) functions are used in this determination.
- ItemOpen AccessPrecision determination of QCD fundamental parameters from Sum rules(2014) Bodenstein, Sebastian W; Dominguez, C A; Horowitz, W A