Quantum reduced loop gravity: extension to scalar field

Abstract

The quantization of the Hamiltonian for a scalar field is performed in the framework of Quantum Reduced Loop Gravity. We outline how the regularization can be performed by using the analogous tools adopted in full Loop Quantum Gravity and the matrix elements of the resulting operator between basis states are analytic coefficients. These achievements open the way for a consistent analysis of the Quantum Gravity corrections to the classical dynamics of gravity in the presence of a scalar field in a cosmological setting.

14 pages, typos corrected

References in corpus (3)

• Quantum Nature of the Big Bang
• Quantum Reduced Loop Gravity: a realistic Universe
• Background independent quantizations: the scalar field II

Cited by in corpus (9)

• Quantum evolution of black hole initial data sets: Foundations
• Quantum Reduced Loop Gravity and the foundation of Loop Quantum Cosmology
• New Hamiltonians for loop quantum cosmology with arbitrary spin representations
• Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
• Quantum reduced loop gravity: extension to gauge vector field
• Orthogonal gauge fixing of first order gravity
• Critical Insight into the Cosmological Sector of Loop Quantum Gravity
• Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
• 2+1 dimensional loop quantum cosmology of Bianchi I models