Investigating the Ultraviolet Properties of Gravity with a W(15)
时间:2025-07-10
时间:2025-07-10
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
=1
(4π)2
+
+11 d4x√ Pk Pk
32π2 d4x√
dt=nS
2Tr(M)Pk( 2) tRk( 2) nDPk( 2)+R
Pk( 2) .(22)
Expandingeachtraceasin
(A10),collectingtermswiththesamenumberofderivativesofthemetric,andkeepingtermsuptofourderivativesweget
dΓk1 tRkg(nS 4nD+2nM)Q22
tRk tRkQ1Q1nD263Pk 1 tRk+ Q2Pk 180
+5nSR2+12(nS+nD 3nM) 2R +.... (3nS+18nD+36nM)C2 (nS+11nD+62nM)E(23)
Weseethatthetermslinearincurvature,whichcontributetothebetafunctionofNew-ton’sconstant,havechanged.However,thetermsquadraticincurvaturehavethesame
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