Computer Estimates of Meson Masses in SU (2) Lattice Gauge Theory

Abstract

It is shown that in an SU(2) lattice gauge theory, in the approximation where internal quark closed loops are neglected, chiral symmetry is broken. With use of partially conserved axial-vector current ${f}_{\ensuremath{\pi}}$, the bare masses of the $u$ and $d$ quarks, and the $\ensuremath{\rho}$ and $\ensuremath{\delta}$ masses are estimated.