We investigate the self-consistency and Lorentz covariance of the covariant light-front quark model(CLF QM) via the matrix elements and form factors(
$${{\mathcal {F}}}=g$$
,
$$a_{\pm }$$
and f) of
$$P\rightarrow V$$
transition. Two types of correspondence schemes between the manifest covariant Bethe–Salpeter approach and the light-front quark model are studied. We find that, for
$$a_{-}(q^2)$$
and
$$f(q^2)$$
, the CLF results obtained via
$$\lambda =0$$
a...