  The fermion and meson sectors of the quark-level SU(2) linear sigma model are
dynamically generated from a meson-quark Lagrangian, with the quark (q) and
meson ($\sigma,\pi$) fields all treated as elementary, having neither bare
masses nor expectation values. In the chiral limit, the masses are predicted to
be $m_q = f_\pi g, m_\pi = 0, m_\sigma = 2m_q$, and we also find that the
quark-meson coupling $g = 2\pi/sqrt{N_c}$, the three-meson coupling is $g' =
m_\sigma^2/2f_\pi = 2gm_q$ and the four-meson coupling is $\lambda = 2g^2 =
g'/f_\pi$, where $f_\pi \simeq 90$ MeV is the pion decay constant and $N_c = 3$
is the color number. By gauging this model one can generate the couplings to
the vector mesons $\rho$ and $A_1$, including the quark-vector coupling
constant $g_\rho = 2\pi, g_{\rho\pi\pi}, g_{A_1\rho\pi}$ and the masses
$M_\rho\sim 700$ MeV, $m_{A_1}\simeq \sqrt{3}m_\rho$; of course the vector and
axial vector currents remain conserved throughout.
