18 research outputs found

    A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator

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    This paper presents a complete algebraic proof of the renormalizability of the gauge invariant d=4d=4 operator Fμν2(x)F_{\mu\nu}^2(x) to all orders of perturbation theory in pure Yang-Mills gauge theory, whereby working in the Landau gauge. This renormalization is far from being trivial as mixing occurs with other d=4d=4 gauge variant operators, which we identify explicitly. We determine the mixing matrix ZZ to all orders in perturbation theory by using only algebraic arguments and consequently we can uncover a renormalization group invariant by using the anomalous dimension matrix Γ\Gamma derived from ZZ. We also present a future plan for calculating the mass of the lightest scalar glueball with the help of the framework we have set up.Comment: 17 page

    Consistent treatment of spin-1 mesons in the light-front formalism

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    We analyze the matrix element of the electroweak current between q \qb vector meson states in the framework of a covariant extension of the light-front formalism. The light-front matrix element of a one-body current is naturally associated with zero modes, which affect some of the form factors that are necessary to represent the Lorentz structure of the light-front integral. The angular condition contains some information on zero modes, i.e., only if the effect of zero modes is accounted for correctly, is it satisfied. With plausible assumptions we derive from the angular condition several consistency conditions which can be used quite generally to determine the zero mode contribution of form factors. The correctness of this method is tested by the phenomenological success of the derived form factors. We compare the predictions of our formalism with those of the standard light-front approach and with available data. As examples we discuss the magnetic moment of the ρ\rho, the coupling constant gDDπg_{D^\ast D \pi}, and the coupling constants of the pseudoscalar density, gπg_\pi and gKg_K, which provide a phenomenological link between constituent and current quark masses.Comment: 36 pages, figure 1 is include

    Measurement of Body Composition in Obesity

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