A covariant polymerized scalar field in loop quantum gravity

Abstract

We propose a new polymerization scheme for scalar fields coupled to gravity. It has the advantage of being a (non-bijective) canonical transformation of the fields and therefore ensures the covariance of the theory. We study it in detail in spherically symmetric situations and compare to other approaches.

7 pages, RevTex, 1 figure, final submitted version to the Special Issue Loop Quantum Gravity: A Themed Issue in Honor of Prof. Abhay Ashtekar

References in corpus (7)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Polymer Quantum Mechanics and its Continuum Limit
• Critical collapse of a scalar field in semiclassical loop quantum gravity
• Anomaly-free deformations of spherical general relativity coupled to matter
• Non-covariance of "covariant polymerization" in models of loop quantum gravity
• Space-time physics in background-independent theories of quantum gravity

Cited by in corpus (14)

• Emergent modified gravity: Covariance regained
• Singularity resolution by holonomy corrections: Spherical charged black holes in cosmological backgrounds
• Gravitational collapse in effective loop quantum gravity: beyond marginally bound configurations
• Remnant loop quantum black holes
• Quasinormal modes of a nonsingular spherically symmetric black hole effective model with holonomy corrections
• Emergent Modified Gravity
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Space-time physics in background-independent theories of quantum gravity
• Formation of nonsingular spherical black holes with holonomy corrections
• Non-singular naked solutions in quantum spacetime
• Thermodynamics of effective loop quantum black holes
• Radiative properties of a nonsingular black hole: Hawking radiation and gray-body factor
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Critical collapse of a massive scalar field in semi-classical loop quantum gravity