Covariant, chirally symmetric, confining model of mesons

Abstract

We introduce a new model of mesons as quark-antiquark bound states. The model is covariant, confining, and chirally symmetric. Our equations give an analytic solution for a zero-mass pseudoscalar bound state in the case of exact chiral symmetry, and also reduce to the familiar, highly successful nonrelativistic linear potential models in the limit of heavy-quark mass and lightly bound systems. In this fashion we are constructing a unified description of all the mesons from the $\ensuremath{\pi}$ through the $\ensuremath{\Upsilon}$. Numerical solutions for other cases are also presented.