  Gauge theories play a fundamental role in particle physics, nuclear physics,
and cosmology. The basic idea of these theories is that the Lagrangian density
should be invariant under some transformations. Lagrangian invariance implies a
certain freedom in defining gauge fields. In this study, the standard path
integral quantization formalism is used. Gauge degrees of freedom manifest
themselves in the difficulties in obtaining gauge field propagators. For a
consistent quantization, it is necessary to eliminate non-physical gauge
degrees of freedom. The standard procedure is to break the gauge symmetry by
applying a gauge condition. In this work, we introduced a new generalized gauge
condition $W_{\mu} A^{a\mu}=0$, where $W_{\mu}=\lambda \partial_{\mu}+\beta
n_{\mu}$, $n_{\mu}$ is an arbitrary constant four-vector, $\lambda$, and
$\beta$ are real constant parameters. Using standard path integral quantization
formalism, we obtained gluon propagators expressions in this new gauge. In the
$\lambda=1,\beta\rightarrow0$, and $\beta=1, \lambda\rightarrow0$ limit cases,
the obtained expression provides us the gluon propagators expressions available
in the literature in covariant and non-covariant gauges, respectively. This
study can give us a different perspective on quantization in Yang-Mills (YM)
theories and can show the way to some ambiguities in quantum field theories
(QFT).
