Abstract
The phase structure and IR properties of the higher-derivative quantum gravity (QG) with scalar matter in 4 — ε dimensions are investigated. The appearance of a few fixed points of the renormalization group (one of them is an infrared stable fixed point) is numerically shown. The new fixed points in 3 dimensions are associated with QG. The nature of phase transitions at nonzero temperature is discussed, and the improved effective potential is calculated.
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