Bounds on the Light Quark Masses: the scalar channel revisited
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We evaluate lower bounds on the sum of the up and down quark masses. The bounds follow from the constraints provided by the dispersion relation obeyed by the two--point function of the scalar current density when combined with properties of the scalar spectral function at long--distances and perturbative QCD at short--distances. Our results point to values of $m_u+m_d$ somewhat higher than those reported recently in the literature using lattice QCD simulations.
7 pages, 3figures. A few sentences have been added to improve clarity. One reference added. To be published in PLB
7 pages, 3figures. A few sentences have been added to improve clarity. One reference added. To be published in PLB