Cosmological Effective Hamiltonian from full Loop Quantum Gravity Dynamics

Abstract

The concept of effective dynamics has proven successful in LQC, a loop-inspired quantization of cosmological spacetimes. We apply the same idea of its derivation in LQC to the full theory, by computing the expectation value of the scalar constraint with respect to some coherent states peaked on the phase-space variables of flat Robertson-Walker spacetime. We comment on the relation with effective LQC and find a deviation stemming from the Lorentzian part of the Hamiltonian.

5 pages, 1 figure. Accepted version in PLB

References in corpus (7)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Emergent de Sitter epoch of the quantum Cosmos
• Effective Scenario of Loop Quantum Cosmology
• Reduced Loop Quantization with four Klein-Gordon Scalar Fields as Reference Matter
• Loop Quantum Cosmology from Loop Quantum Gravity
• Improved regularization from Quantum Reduced Loop Gravity

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