Resolution of the pion puzzle: The QCD string in NambuGoldstone mesons
Abstract
Pions and kaons have double nature: the chiral dynamics of NambuGoldstone 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 selfenergy (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 GellMannOakesRenner relation for the ground state pion and (slightly shifted by chiral dynamics) the usual spectrum of radially excited pions starting with $\pi(1300)$.
 Publication:

Physics of Atomic Nuclei
 Pub Date:
 April 2004
 DOI:
 10.1134/1.1707145
 arXiv:
 arXiv:hepph/0302090
 Bibcode:
 2004PAN....67..846S
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 20 pages, no figures