Hawking temperature in the tunneling picture

We examine Hawking radiation from a Schwarzschild black hole in several reference frames using the quasi-classical tunneling picture. It is shown that when one uses, Γ∝exp(Im[∮pdr]), rather than, Γ∝exp(2Im[∫pdr]), for the tunneling probability/decay rate one obtains twice the original Hawking temperature. The former expression for Γ is argued to be correct since ∮pdr is invariant under canonical transformations, while ∫pdr is not. Thus, either the tunneling methods of calculating Hawking radiation are suspect or the Hawking temperature is twice that originally calculated.