  We calculate the equation of state of Bose-Bose gases in one and three
dimensions in the framework of an effective quantum field theory. The
beyond-mean-field approximation at zero-temperature and the one-loop
finite-temperature results are obtained performing functional integration on a
local effective action. The ultraviolet divergent zero-point quantum
fluctuations are removed by means of dimensional regularization. We derive the
nonlinear Schr\"odinger equation to describe one- and three-dimensional
Bose-Bose mixtures and solve it analytically in the one-dimensional scenario.
This equation supports self-trapped brightlike solitonic-droplets and
self-trapped darklike solitons. At low temperature, we also find that the
pressure and the number of particles of symmetric quantum droplets have a
nontrivial dependence on the chemical potential and the difference between the
intra- and the inter-species coupling constants.
