Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-05-11
Nucl.Phys. B426 (1994) 223-243
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, TIT/HEP-254, STUPP-94-136
Scientific paper
10.1016/0550-3213(94)90133-3
Quantum theory of dilaton gravity is studied in $2+\epsilon$ dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilaton field eliminates $1/\epsilon$ singularity in the Liouville-dilaton propagator. This smooth behavior of the dilaton gravity theory in the $\epsilon \rightarrow 0$ limit solves the oversubtraction problem which afflicted the higher orders of the Einstein gravity in $2+\epsilon$ dimensions. As a nontrivial fixed point, we find a dilaton gravity action which can be transformed to a CGHS type action.
Kojima Shota
Sakai Norisuke
Tanii Yoshiaki
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