Abstract
By solving the Schwinger–Dyson equation for quark self-energy and Bethe–Salpeter equation for pseudo-scalar vertex, we investigate the static pion properties in the dual Ginzburg–Landau theory that includes a description of confinement. Pion mass formula and the Gell–Mann–Oakes–Renner relation are shown. The pion mass, resulting from the. current quark mass, and pion decay constant are calculated. Our results show that the dynamical effect of light quarks is unimportant for the mass of pion.
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