  A theory is proposed to describe the competition among antiferromagnetism
(AF), spin glass (SG) and Kondo effect. The model describes two Kondo
sublattices with an intrasite Kondo interaction strength $J_{K}$ and an
interlattice quantum Ising interaction in the presence of a transverse field
$\Gamma$. The interlattice coupling is a random Gaussian distributed variable
(with average $-2J_0/N$ and variance $32 J^{2}/N$) while the $\Gamma$ field is
introduced as a quantum mechanism to produce spin flipping. The path integral
formalism is used to study this fermionic problem where the spin operators are
represented by bilinear combinations of Grassmann fields. The disorder is
treated within the framework of the replica trick. The free energy and the
order parameters of the problem are obtained by using the static ansatz and by
choosing both $J_0/J$ and $\Gamma/J \approx (J_k/J)^2$ to allow, as previously,
a better comparison with the experimental findings.
  The results indicate the presence of a SG solution at low $J_K/J$ and for
temperature $T<T_{f}$ ($T_{f}$ is the freezing temperature). When $J_K/J$ is
increased, a mixed phase AF+SG appears, then an AF solution and finally a Kondo
state is obtained for high values of $J_{K}/J$. Moreover, the behaviors of the
freezing and Neel temperatures are also affected by the relationship between
$J_{K}$ and the transverse field $\Gamma$. The first one presents a slight
decrease while the second one decreases towards a Quantum Critical Point (QCP).
The obtained phase diagram has the same sequence as the experimental one for
$Ce_{2}Au_{1-x}Co_{x}Si_{3}$, if $J_{K}$ is assumed to increase with $x$, and
in addition, it also shows a qualitative agreement concerning the behavior of
the freezing and the Neel temperatures.
