Chiral dynamics with confinement versus the standard chiral theory

TL;DR

This paper explores chiral dynamics within a confining framework derived from QCD, showing that chiral symmetry breaking is driven by confinement rather than spontaneous mechanisms, and successfully predicts meson properties.

Contribution

It introduces the chiral confining Lagrangian (CCL) from QCD, linking confinement directly to chiral symmetry breaking and meson mass and decay constant calculations.

Findings

Chiral symmetry breaking is determined by confinement.

Predicted meson masses and decay constants agree with experimental data.

Derived GMOR relations and effective chiral Lagrangian from CCL.

Abstract

Chiral dynamics is investigated using the chiral confining Lagrangian (CCL), previously derived from QCD with confinement interaction. Based on the calculations of the quark condensate, which is defined entirely by confinement in the zero quark mass limit, one can assert that chiral symmetry breaking occurs not spontaneously but is predetermined by confinement. The expansion of the CCL provides the GMOR relations and the effective chiral Lagrangian, which is used to provide the masses and decay constants of all chiral mesons, including $\eta,\eta'$. For the latter one needs to define a non-chiral component due to confinement, while the orthogonality condition defines the wave functions and the eigenvalues. The resulting masses and decay constants of all chiral mesons are obtained in good agreement with experimental and lattice data.