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

Abstract

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 $\pi (1300)$.

20 pages, no figures; v2: minor corrections

References in corpus (7)

• Casimir scaling of SU(3) static potentials
• Static SU(3) potentials for sources in various representations
• Casimir scaling as a test of QCD vacuum
• Light meson radial Regge trajectories
• Light-meson orbital excitations in the QCD string approach
• Chiral Lagrangian with confinement from the QCD Lagrangian
• Perturbative-nonperturbative interference in the static QCD interaction at small distances

Cited by in corpus (24)

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• Pion decay constants in a strong magnetic field
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• Field Correlator Method for the confinement in QCD
• Chiral physics in the magnetic field with quark confinement contribution
• On Goldstone bosons decoupling from high-lying hadrons
• Thermodynamics of quark-gluon plasma at finite baryon density
• Chiral Lagrangian and chiral quark model from confinement in QCD
• Magnetic test of chiral dynamics in QCD
• Current correlators in QCD: OPE versus large distance dynamics
• Scalar mesons in the chiral theory with quark degrees of freedom
• Nonperturbative approach to the parton model
• Magnetic focusing in atomic, nuclear and hadronic processes
• Analysis of the QCD spectrum and chiral symmetry breaking with varying quark masses
• Chiral symmetry breaking and the Lorentz nature of confinement
• Contribution of the rho meson and quark sub-structure to the nuclear spin-orbit potential
• Quark condensate in QCD at nonzero magnetic field and temperature
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Chiral dynamics with confinement versus the standard chiral theory
• From QCD phenomenology to nuclear physics phenomenology: the chiral confining model
• Mass generation with adjoint fermions