Resolution of the pion puzzle: The QCD string in Mambu-Goldstone mesons

Pions and kaons have a double nature: the chiral dynamics of Nambu-Goldstone bosons together with the usual string dynamics common to all mesons. To uncover the interplay of both dynamics, the effective chiral Lagrangian is derived from the QCD Lagrangian using the field correlator method, and the pion self-energy (mass) operator is written explicitly. The latter contains an infinite number of poles, but is normalized to zero at zero momentum because of spontaneous chiral symmetry breaking. As a result, one obtains the Gell-Mann-Oakes-Renner relation for the ground-state pion and (slightly shifted by chiral dynamics) the usual spectrum of radially excited pions starting with pi(1300). (C) 2004 MAIK Nauka/Interperiodica.