Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology

Abstract

The alternative dynamics of loop quantum cosmology is examined by the path integral formulation. We consider the spatially flat FRW models with a massless scalar field, where the alternative quantization inherit more features from full loop quantum gravity. The path integrals can be formulated in both timeless and deparameterized frameworks. It turns out that the effective Hamiltonians derived from the two different viewpoints are equivalent to each other. Moreover, the first-order modified Friedmann equations are derived and predict quantum bounces for contracting universe, which coincide with those obtained in canonical theory.

8 pages. arXiv admin note: substantial text overlap with arXiv:1102.4755

References in corpus (8)

• Quantum Nature of the Big Bang: Improved dynamics
• Loop Quantum Cosmology: An Overview
• Quantum bounce and cosmic recall
• Path Integrals and the WKB approximation in Loop Quantum Cosmology
• Effective Scenario of Loop Quantum Cosmology
• Local spinfoam expansion in loop quantum cosmology
• Two-point functions in (loop) quantum cosmology
• Path Integral and Effective Hamiltonian in Loop Quantum Cosmology

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• Nilpotent Symmetries in Super-Group Field Cosmology
• Loop quantum modified gravity and its cosmological application
• Anomaly freedom of the vector modes with holonomy corrections in perturbative Euclidean loop quantum gravity
• Gravitational waves with generalized holonomy corrections
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Loop quantum cosmology in 2+1 dimension
• Alternative $k=-1$ loop quantum cosmology
• Renormalizability of Supersymmetric Group Field Cosmology
• Path Integral of Bianchi I models in Loop Quantum Cosmology
• Effective Theories of Quantum Cosmology
• Unitary evolution and cosmic acceleration in Loop Quantum Cosmology