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작성자 CQUeST 날짜 2019-02-18
제목 [Seminar] Feb.19(Tue), 2:30 pm, Gabriele Gionti

DATE & TIME Feb. 19 (Tue), 2:30 pm
SPEAKER Gabriele Gionti
HOST Bum-Hoon Lee
INSTITUTE Vatican Observatory
TITLE Some aspects of the Hamiltonian Analysis of Asymptotically Safe Quantum Gravity

We introduce the basic concepts and the main underlying philosophy of the Asymptotic Safe approach to Quantum Gravity. A Hamiltonian Analysis of the Reuter-Weyer Renormalization Group (RG) improved action of the Einstein-Hilbert functional is performed. The gravitational and cosmological constants as function of the space-time coordinates are treated as external non-geometrical fields. Dirac's constraint analysis is performed, in the general case, up to secondary constraints. The constraints are second class and, in general, the problem appears to be technically complicated. This fact suggests studying the Dirac's constraint analysis of the related Brans-Dicke theory, which shows the Poisson Brackets between Hamiltonian-Hamiltonian constraints do not close. The equivalence between the Jordan frame and the Einstein frame is introduced and discussed in light of this last result. A simplified FLRW minisuperspace model based on the RG improved Einstein Hilbert action contains Bouncing and Emergent Universes for values of K=-1, 0, 1.

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