ar X iv : h ep - p h / 93 07 26 1 v 2 9 S ep 1 99 3 Unquenching the ρ meson Derek

نویسندگان

  • Derek B. Leinweber
  • Thomas D. Cohen
چکیده

Two-pion induced self-energy contributions to the ρ-meson mass are examined in relation to the quenched approximation of QCD, where the physics associated with two-pion intermediate states has been excluded from vectorisovector correlation functions. Corrections to quenched QCD calculations of the ρ-meson mass are estimated to be small at the order of a few percent of the ρ-meson mass. The two-pion contributions display nonanalytic behavior as a function of the pion mass as the two-pion cut is encountered. The implications of this nonanalytic behavior in extrapolations of full QCD calculations are also discussed. We note that for full QCD, the error made in making a linear extrapolation of the ρ mass, neglecting nonanalytic behavior, increases as one approaches the two-pion cut. 12.38.-t, 12.38.Gc, 14.40.-n, 14.40.Cs Typeset using REVTEX 1

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تاریخ انتشار 1993