The low-lying Scalar Mesons and Related Topics

Abstract

After presenting the motivations to explore the low-lying scalar mesons such as the $\sigma$, $a_0$ and $\kappa$ in the unquenched as well as quenched lattice QCD, we review the works done by our collaboration (SCALAR Collaboration) with a what-to-do-next list. We briefly mention the imporatance to explore the $N_c$ dependence of and possible effects of the $U_A(1)$ anomaly to the properties the low-lying scalar mesons.

4 pages, 2 figures. Invited talk at QCD08, 14th International QCD Conference, 7-12th July, 2008, Montpellier (France)

References in corpus (13)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Mass and width of the lowest resonance in QCD
• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• On the nature of light scalar mesons from their large $N_c$ behavior
• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Scalar Particles in Lattice QCD
• Another look at $\pi \pi$ scattering in the scalar channel
• Lattice Study of Low-lying Nonet Scalar Mesons in Quenched Approximation
• Chiral Symmetry and Scalar Meson in Hadron and Nuclear Physics
• Instantons and Scalar Multiquark States: From Small to Large N_c
• The Sigma Meson and Chiral Transition in Hot and Dense Matter

Cited by in corpus (5)

• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Hadron properties in the nuclear medium
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• Isoscalar mesons upon unbreaking of chiral symmetry
• Light scalar tetraquarks from a holographic perspective