Phenomenolgy of Loop Quantum Gravity - LPSC - IN2P3

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Anomaly-free vector algebra for holonomy corrections Very important general question of consistency for effective approaches : are the constraints consistent with the evolution they generate ? Smeared constraints: First class algebra. However, when going to the quantum version anomalies usually appear. 28 Mielszarek, Cailleteau, A.B., Grain, CQG 2012 Aurélien Barrau LPSC-Grenoble (CNRS / UJF)
This issue is especially important when dealing with perturbations around the cosmological background. In bouncing cosmologies vector modes can be important. Already derived for inverse-triad corrections and for holonomies up to fourth order in k. This is not enough to go through the bounce. We follow the usual prescription with an arbitrary n integer. We don’t restrict a prioris the mu dependance upon p. Defined as K[n] 29 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: Is a N>78 inflation probable ? What
Page 31 and 32: In order to investigate the algebra
Page 33 and 34: 1) Without counterterms. One is led
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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