In line with some previous works, we study in this paper the meson spectrum in the framework of a second order quark-antiquark Bethe-Salpeter formalism which includes confinement. An analytic one loop running coupling constant alphas(Q), as proposed by Shirkov and Sovlovtsov, is used in the calculations. As for the quark masses, the case of a purely phenomenological running mass for the light quarks in terms of the c. m. momentum is further investigated. Alternatively a more fundamental expression mP(Q) is introduced for light and strange quarks, combining renormalization group and analyticity requirements with an approximate solution of the Dyson-Schwinger equation. The use of such running coupling constant and masses turns out to be essential for a correct reproduction of the the light pseudoscalar mesons.
Running coupling constant and masses in QCD, the meson spectrum / M. Baldicchi, G. M. Prosperi - In: Quark Confinement and the Hadron Spectrum VI / N. Brambilla, U. D'Alesio, A. Devoto, G. Prosperi, S. Serci. - [s.l] : American Institute of Physics, 2005. - ISBN 0-7354-0241-8. - pp. 152-161 (( Intervento presentato al 6. convegno 6Th Quark Confinement and the Hadron Spectrum tenutosi a Villasimius, Italy nel 2004.
Running coupling constant and masses in QCD, the meson spectrum
G. M. ProsperiUltimo
2005
Abstract
In line with some previous works, we study in this paper the meson spectrum in the framework of a second order quark-antiquark Bethe-Salpeter formalism which includes confinement. An analytic one loop running coupling constant alphas(Q), as proposed by Shirkov and Sovlovtsov, is used in the calculations. As for the quark masses, the case of a purely phenomenological running mass for the light quarks in terms of the c. m. momentum is further investigated. Alternatively a more fundamental expression mP(Q) is introduced for light and strange quarks, combining renormalization group and analyticity requirements with an approximate solution of the Dyson-Schwinger equation. The use of such running coupling constant and masses turns out to be essential for a correct reproduction of the the light pseudoscalar mesons.Pubblicazioni consigliate
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