Investigating the Ultraviolet Properties of Gravity with a W(16)
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
coe cientsasbefore,con rmingthatthebetafunctionsofthedimensionlesscouplingsarescheme–independent.
Inordertohavemoreexplicitformulae,andinnumericalwork,oneneedstocalculatealsothescheme–dependentQ-functionals.Thisrequires xingthepro leRk.Inthispaperwewillmostlyusetheso–calledoptimizedcuto (A21)inwhichtheintegralsarereadilyevaluated,seeequations(A22,A23,A24).Thiscuto hastheveryconvenientpropertythatQ n tRk
dt= tRk+ R′ E
k
i
dt=a(n)
ik4 n,
wherea(n)areconstants.Then,thebetafunctionsofthedimensionlessvariablesg (n)
ii=
上一篇:制药企业如何准备GMP认证