E. Benedict et al., FUNCTIONAL SCHRODINGER AND BRST QUANTIZATION OF (1-DIMENSIONAL GRAVITY(1)), Physical review. D. Particles and fields, 54(10), 1996, pp. 6213-6225
We discuss the quantization of pure string-inspired dilaton gravity in
1+1 dimensions, and of the same theory coupled to scalar matter. We p
erform the quantization using the functional Schrodinger and BRST form
alisms. We find, both for pure gravity and the matter-coupled theory,
that the two quantization procedures give inequivalent ''physical'' re
sults.