Quark Masses

Abstract

Light quark masses (up-, down-, strange-) were first considered in the framework of chiral symmetries and named current algebra quark masses Treiman et al. (Current Algebra and Anomalies. World Scientific, Singapore, 1985); Bernstein (Elementary Particles and their Currents. W. H. Freeman & Co., San Francisco, 1968 [1]), Pagels (Phys Rep 219, 1975 [2]), Gell-Mann (Phys Rev 2195, 1968 [3]), Glashow and Weinberg (Phys Rev Lett 224, 1968 [4]), Gasser and Leutwyler (Phys Rep C 77, 1982 [5]). These quantities, being pre-QCD, lacked the current detailed understanding of e.g. quark-mass running and renormalization.