No fermion doubling in quantum geometry

Abstract

In loop quantum gravity the discrete nature of quantum geometry acts as a natural regulator for matter theories. Studies of quantum field theory in quantum space-times in spherical symmetry in the canonical approach have shown that the main effect of the quantum geometry is to discretize the equations of matter fields. This raises the possibility that in the case of fermion fields one could confront the usual fermion doubling problem that arises in lattice gauge theories. We suggest, again based on recent results on spherical symmetry, that since the background space-times will generically involve superpositions of states associated with different discretizations the phenomenon may not arise. This opens a possibility of incorporating chiral fermions in the framework of loop quantum gravity.

2 pages, RevTex, no figures

References in corpus (2)

• Quantum black holes in Loop Quantum Gravity
• Fermion Doubling in Loop Quantum Gravity

Cited by in corpus (8)

• Quantum gravity and Standard-Model-like fermions
• Constraining power of asymptotic safety for scalar fields
• Light charged fermions in quantum gravity
• Fermions in Loop Quantum Gravity and Resolution of Doubling Problem
• Quantum geometry and black holes
• Fermion coupling to loop quantum gravity: canonical formulation
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Fermion Doubling in Loop Quantum Gravity