The fermionic contribution to the spectrum of the area operator in nonperturbative quantum gravity

Abstract

The role of fermionic matter in the spectrum of the area operator is analyzed using the Baez--Krasnov framework for quantum fermions and gravity. The result is that the fermionic contribution to the area of a surface $S$ is equivalent to the contribution of purely gravitational spin network's edges tangent to $S$. Therefore, the spectrum of the area operator is the same as in the pure gravity case.

10 pages, revtex file. Revised version

References in corpus (8)

• Quantum Geometry and Black Hole Entropy
• Spin Foam Models
• Quantum Gravity and Regge Calculus
• Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories
• The Immirzi parameter in quantum general relativity
• Quantization of Diffeomorphism-Invariant Theories with Fermions
• On the Constant that Fixes the Area Spectrum in Canonical Quantum Gravity
• Fermion mass gap in the loop representation of quantum gravity

Cited by in corpus (4)

• Spinfoam fermions
• Area spectrum of near-extremal SdS black holes via the new interpretation of quasinormal modes
• Loop Quantum Gravity
• Knot theory and a physical state of quantum gravity