W. Kummer et Dv. Vassilevich, Effective action and Hawking radiation for dilaton coupled scalars in two dimensions - art. no. 084021, PHYS REV D, 6008(8), 1999, pp. 4021
The effective one-loop action for general dilaton theories with an arbitrar
y dilaton-dependent measure and nonminimal coupling to scalar matter is com
puted. As an application we determine the Hawking flux to infinity from bla
ck holes in D dimensions. We resolve the recently resurrected problem of an
apparent negative flux for nonminimally coupled scalars: For any D greater
than or equal to 4 black hole the complete flux turns out to be precisely
the one of minimal coupling. This result is obtained from a Christensen-Ful
ling type argument involving the (non)conservation of energy-momentum. It i
s compared with approaches using the effective action. [S0556-2821(99)01416
-2].