  In this work, we study a gauge invariant local non-polynomial composite
spinor field in the fundamental representation in order to establish its
renormalizability. Similar studies were already done in the case of pure
Yang-Mills theories where a local composite gauge invariant vector field was
obtained and an invariant renormalizable mass term could be introduced. Our
model consists of a massive Euclidean Yang-Mills action with gauge group
$SU(N)$ coupled to fermionic matter in the presence of an invariant spinor
composite field and quantized in the linear covariant gauges. The whole set of
Ward identities is analysed and the algebraic proof of the renormalizability of
the model is obtained to all orders in a loop expansion.
