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arXiv · hep-th/9405072

Dilaton Gravity in $2+ε$ Dimensions

S. Kojima·N. Sakai·Y. Tanii
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Abstract

Quantum theory of dilaton gravity is studied in $2+ε$ dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilaton field eliminates $1/ε$ singularity in the Liouville-dilaton propagator. This smooth behavior of the dilaton gravity theory in the $ε\rightarrow 0$ limit solves the oversubtraction problem which afflicted the higher orders of the Einstein gravity in $2+ε$ dimensions. As a nontrivial fixed point, we find a dilaton gravity action which can be transformed to a CGHS type action.

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S. Kojima, N. Sakai, Y. Tanii. 1994-05-11. Dilaton Gravity in $2+ε$ Dimensions. https://doi.org/10.1016/0550-3213(94)90133-3

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