WILSONIAN BLACK-HOLE ENTROPY IN QUANTUM-GRAVITY

Using the Wilsonian procedure (renormalization group improvement) we d iscuss the finite quantum corrections to black hole entropy in renorma lizable theories. In this way, the Wilsonian black hole entropy is fou nd for GUT's (of asymptotically free form, in particular) and for the effective theory for the conformal factor aiming to describe quantum g ravity in the infrared region. The off-critical regime (where the coup ling constants are running) for the effective theory for the conformal factor in quantum gravity (with or without torsion) is explicitly con structed. The corresponding renormalization group equations for the ef fective couplings are found using the Schwinger-DeWitt technique for t he calculation of the divergences of the fourth order operator.