  We analyze diffeomorphism invariance in inflationary spacetimes regulated by
a boundary at late time. We present the action for quadratic fluctuations in
the presence of a boundary, and verify that it is gauge invariant precisely
when the correct local counterterms are included. The scaling behavior of bulk
correlation functions at the boundary is determined by Callan-Symanzik
equations which predict scaling violations in agreement with the standard
inflationary predictions for spectral indices of the CMB.
