The low-lying Scalar Mesons and Related Topics

TL;DR

This paper reviews lattice QCD studies of low-lying scalar mesons like sigma, a0, and kappa, discussing their properties, the influence of the U_A(1) anomaly, and future research directions.

Contribution

It provides a comprehensive review of lattice QCD results on scalar mesons and outlines future research priorities in the field.

Findings

Lattice QCD results on scalar mesons are summarized.

The importance of N_c dependence and U_A(1) anomaly effects is highlighted.

Future research directions are proposed.

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.