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We derive a dynamic field theory for a kinetically constrained model, basedon the Fredrickson--Andersen model, which we expect to describe the propertiesof an Arrhenius (strong) supercooled liquid at the coarse-grained level. Westudy this field theory using the renormalization group. For mesoscopic lengthand time scales, and for space dimension d \geq 2, the behaviour of the modelis governed by a zero-temperature dynamical critical point in the directedpercolation universality class. We argue that in d=1 its behaviour is that ofcompact directed percolation. We perform detailed numerical simulations of thecorresponding Fredrickson-Andersen model on the lattice in various dimensions,and find reasonable quantitative agreement with the field theory predictions

Renormalization group study of a kinetically constrained model for strong glasses