  We analyze, in perturbation theory, a theory of weakly interacting fractons
and non-relativistic fermions in a 2+1 dimensional Quantum Field Theory. In
particular we compute the 1-loop corrections to the self energies and
interaction vertex, and calculate the associated 1-loop Renormalization Group
flows of the coupling constants. Surprisingly, we find that the fracton-fermion
coupling does not flow due to an emergent coordinate-dependent symmetry of the
effective Lagrangian, making this model a well-defined quantum field theory. We
provide additional discussions on the regularization and renormalization of
interacting fractonic theories, as well as both qualitative and quantitative
remarks regarding the theory at finite temperature and finite chemical
potential.
