Quantum reduced loop gravity: extension to gauge vector field

Abstract

Within the framework of Quantum Reduced Loop Gravity we quantize the Hamiltonian for a gauge vector field. The regularization can be performed using tools analogous to the ones adopted in full Loop Quantum Gravity, while the matrix elements of the resulting operator between basis states are analytic coefficients. This analysis is the first step towards deriving the full quantum gravity corrections to the vector field semiclassical dynamics.

14 pages, typos corrected, improved notation to describe the kinematical states. arXiv admin note: text overlap with arXiv:1506.08579

References in corpus (8)

• Quantum Nature of the Big Bang: Improved dynamics
• Vector Inflation
• Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates
• Quantum Reduced Loop Gravity and the foundation of Loop Quantum Cosmology
• Loop quantum cosmology of a radiation-dominated flat FLRW universe
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Cited by in corpus (5)

• Quantum evolution of black hole initial data sets: Foundations
• Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
• Critical Insight into the Cosmological Sector of Loop Quantum Gravity
• Orthogonal gauge fixing of first order gravity
• Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections