Phenomenolgy of Loop Quantum Gravity - LPSC - IN2P3

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One needs A=0. If this can be achieved, the algebra will be closed but deformed. The Hamiltonian and diffeomorphism constraints generate gauge transformations in directions respectively normal and parallel to te hypersurface 32 Aurélien Barrau LPSC-Grenoble (CNRS / UJF)
1) Without counterterms. One is led to a (Pell-type) Diophantine equations in v1 and v2. Infinite number of solutions, but up to 4th order only. 2) General case. A=0 At this stage, ambiguities remain. Matter has to be introduced The matter Ham. does not depend on the Ashtekar connection : no holo cor. 33 Aurélien Barrau LPSC-Grenoble (CNRS / UJF)
Page 1 and 2: Some phenomenological aspects of Lo
Page 3 and 4: Experimental tests - High energy ga
Page 5 and 6: FLRW and the WDW theory k=0 and k=1
Page 7 and 8: LQC: preliminaries Pessimistic view
Page 9 and 10: LQC: a few results - The volume of
Page 11 and 12: First point : The “bounce” is n
Page 13 and 14: Grain & Barrau, Phys. Rev. Lett. 10
Page 15 and 16: IV Holonomy 15 Aurélien Barrau LPS
Page 17 and 18: Holonomies dominate the background
Page 19 and 20: A tricky horizon history… Computa
Page 21 and 22: 21 Aurélien Barrau LPSC-Grenoble (
Page 23 and 24: Grain, A.B. et al. 23 Aurélien Bar
Page 25 and 26: CMB consequences If the scalar spec
Page 27 and 28: Is a N>78 inflation probable ? What
Page 29 and 30: This issue is especially important
Page 31: In order to investigate the algebra
Page 35 and 36: By studying effects of an infinites
Page 37 and 38: The holonomy-modified Hamiltonian c
Page 39 and 40: Including matter 39 Aurélien Barra
Page 41 and 42: Anomaly freedom : A_i=0 It is indee
Page 43 and 44: The equations of motion can now be
Page 45 and 46: Finally, one can define gauge-invar
Page 47 and 48: Perpsectices II (in progress) Tenso

Phenomenolgy of Loop Quantum Gravity - LPSC - IN2P3

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