  A renormalization group approach is used to show that a one dimensional
system of bosons subject to a lattice quench exhibits a finite-time dynamical
phase transition where an order parameter within a light-cone increases as a
non-analytic function of time after a critical time. Such a transition is also
found for a simultaneous lattice and interaction quench where the effective
scaling dimension of the lattice becomes time-dependent, crucially affecting
the time-evolution of the system. Explicit results are presented for the
time-evolution of the boson interaction parameter and the order parameter for
the dynamical transition as well as for more general quenches.
