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

Details Resolution of the pion puzzle: the QCD string in Nambu-Goldstone mesons Resolution of the pion puzzle: the QCD string in Nambu-Goldstone mesons

2003-02-12

arxiv.org/abs/hep-ph/0302090v2

Phys.Atom.Nucl. 67 (2004) 846-855; Yad.Fiz. 67 (2004) 868-877

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, no figures; v2: minor corrections

Scientific paper

10.1134/1.1707145

Pions and kaons have 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 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 $\pi(1300)$.

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