Abstract
The phase structure and infrared (IR) properties of conformal quantum gravity (QG) with matter near four dimensions are studied using renormalization-group (RG) and ε- expansion techniques. For a variety of theories [like the O(N)φ4 theory, scalar electrodynamics and the SU(2) model with scalars] interacting with Weyl gravity, new fixed points for the scalar coupling may appear. The IR stable fixed point perturbed by QG results in a second-order phase transition at nonzero temperature. For the SU(2) gauge theory, which presumably describes the confining phase of the standard model, the RG-improved effective potential at nonzero temperature is found taking into account the QG contribution.
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