Effective constraint algebras with structure functions
  This article presents the result that fluctuations and higher moments of a state do not imply quantum corrections in structure functions of constrained systems. Consequences for canonical quantum gravity, whose structure functions encode space-time structure, are discussed. In particular, deformed algebras found in models of loop quantum gravity provide reliable information even in the Planck regime. 
Martin Bojowald and Suddhasattwa Brahma
gr-qc hep-th