  We consider spontaneous symmetry breaking transitions of strongly interacting
two-dimensional Dirac fermions minimally coupled to mass and emergent gauge
field order parameters. Using a renormalization group analysis, we show that
the presence of gauge fields leads to novel fermion induced quantum
(multi-)criticality where the putative emergent Lorentz invariance is violated.
We illustrate this with the example of translational symmetry breaking due to
charge-density wave order on the honeycomb lattice. Finally, we identify that
topological phase transitions are well described by this effective field
theory.
