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Herman J. Munczek 《Zeitschrift fur Physik C Particles and Fields》1986,32(4):585-590
A consistent treatment of the QCD quark propagator and quark-antiquark bound state equations is presented which follows the Nambu and Jona-Lasinio approach to the discussion of chiral symmetry breaking. An expression is obtained for the dynamical, momentum dependent, mass. In the approximation used here the dynamical mass is determined byM 0, its value at zero momentum, and by the strong coupling constant α s and bare quark massm 0. In the limiting case of no explicit chiral symmetry breaking. i.e.,m 0=0, this expression coincides in form with the one obtained by Chang and Chang in their renormalization-group analysis. In this limit chiral symmetry remains broken and we show the explicit appearance of a Nambu-Goldstone pion. A consistent calculation of the pseudoscalar, scalar and vector meson masses gives values ofm 0, α s andM 0 well in step with other estimates. This makes possible a calculation off π, the pion decay constant, in reasonable agreement with experiment. 相似文献
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