Investigating the Ultraviolet Properties of Gravity with a W

We review and extend in several directions recent results on the asymptotic safety approach to quantum gravity. The central issue in this approach is the search of a Fixed Point having suitable properties, and the tool that is used is a type of Wilsonian r

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XraInvestigatingtheUltravioletPropertiesofGravitywithaWilsonianRenormalizationGroupEquationAlessandroCodello Institutf¨urPhysik,Johannes-Gutenberg-Universit¨at,Staudingerweg7,D-59099Mainz,GermanyRobertoPercacci InstituteforTheoreticalPhysics,UtrechtUniversity,Leuvenlaan4,NL-3584,TheNetherlandsandSISSA,viaBeirut4,I-34014Trieste,ItalyChristophRahmede SISSA,viaBeirut4,I-34014Trieste,Italy,andINFN,SezionediTrieste,Italy