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a)Could It be that a theroy that is not renormalizable in three or four dimension could it be renormalizaed in two?..i mean if depending on the dimension a theory is renormalizable or not....when it comes to gravity..in wich dimension is renormalizable?.

b)When you have HF=dF/dt where this would be the functional schroedinguer equation with functional derivatives then if we have H=H0+Hint then if we use perturbation theory to calculate F (The functional wave)..my question if that this perturbation scheme is realted to the covariant perturbation theory.