  We study the scaling behaviour of the optical conductivity $(\sigma)$, free
energy density $(F)$, and shear viscosity of the quantum critical point
associated with the spin density wave phase transition for a two-dimensional
metallic system with $C_2$ symmetry. A non-Fermi liquid behaviour emerges at
two pairs of isolated points on the Fermi surface, due to the coupling of a
bosonic order parameter to fermionic excitations at those so-called
``hot-spots''. We find that near the hot-spots, $\sigma$ and $F$ obey the
scalings expected for such an anisotropic system, and the direction-dependent
viscosity to entropy density ratio is not a universal number due to the
anisotropy. Lastly, we also estimate the effect of the fermion-boson coupling
at the hot-spots on superconducting instabilities.
