Constituent and current quark masses at low chiral energies

Abstract

Light constituent quark masses and the corresponding dynamical quark masses are determined by data, the Quark-Level Linear $\sigma$ Model, and infrared QCD. This allows to define effective nonstrange and strange current quark masses which reproduce the experimental pion and kaon masses very accurately, by simple additivity. Moreover, the masses of the light scalar mesons $\sigma (600)$ and $\kappa (800)$ can be obtained straightforwardly from the constituent quark masses. In contrast, the usual nonstrange and strange current quark masses employed by Chiral Perturbation Theory do not allow a simple quantitative explanation of the pion and kaon masses.

arXiv comment5 pages, EPL style, accepted for publication in Europhys. Lett

References in corpus (21)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Meson-Meson interaction in a non-perturbative chiral approach
• Mass and width of the lowest resonance in QCD
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• A low-lying scalar meson nonet in a unitarized meson model
• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance
• What $\pi -\pi$ Scattering Tells Us About Chiral Perturbation Theory
• First determination of the strange and light quark masses from full lattice QCD
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• Dynamical generation of the gauged SU(2) linear sigma model
• High-precision determination of the light-quark masses from realistic lattice QCD
• Paramagnetic effect of light quark loops on Chiral Symmetry Breaking
• The mass of the sigma pole
• Modified Breit-Wigner formula for mesonic resonances describing OZI decays of confined $q\bar{q}$ states and the light scalar mesons
• Determination of Light and Strange Quark Masses from Full Lattice QCD
• Constituent Quark Masses and the Electroweak Standard Model
• Meson Form Factors and the Quark-Level Linear Sigma Model
• Comment on "Mass and Width of the Lowest Resonance in QCD"
• Pion Chiral Symmetry Breaking in the Quark-Level Linear Sigma Model and Chiral Perturbation Theory
• Pion and Kaon Masses and Pion Form Factors from Dynamical Chiral-Symmetry Breaking with Light Constituent Quarks

Cited by in corpus (5)

• The Quark-Level Linear σ Model
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Note on the magnetic moment of the nucleon
• An interpretation of scalars in SO(32)
• Limit on Higgs boson trilinear self-coupling in coupled technicolor models