  In this review, we survey the current progress in computing transport
properties in semimetals which harbour non-Fermi liquid phases. We first
discuss the widely-used Kubo formalism, which can be applied to the effective
theory describing the stable non-Fermi liquid phase obtained via a
renormalization group procedure and, hence, is applicable for temperatures
close to zero (e.g., optical conductivity). For finite-temperature regimes,
which apply to the computations of the generalized DC conductivity tensors, we
elucidate the memory matrix approach. This approach is based on an effective
hydrodynamic description of the system, and is especially suited for tackling
transport calculations in strongly-interacting quantum field theories, because
it does not rely on the existence of long-lived quasiparticles. As a concrete
example, we apply these two approaches to find the response of the so-called
\textit{Luttinger-Abrikosov-Benelavskii phase} of isotropic three-dimensional
Luttinger semimetals, which arises under the effects of long-ranged
(unscreened) Coulomb interactions, with the chemical potential fine-tuned to
cut exactly the nodal point. In particular, we focus on the electric
conductivity tensors, thermal and thermoelectric response, Raman response, free
energy, entropy density, and shear viscosity.
