• Corpus ID: 249018073

Fermions on Quantum Geometry and Resolution of Doubling Problem

@inproceedings{Zhang2022FermionsOQ,
  title={Fermions on Quantum Geometry and Resolution of Doubling Problem},
  author={Cong Zhang and Hongguang Liu and Muxin Han},
  year={2022}
}

• Cong Zhang, Hongguang Liu, Muxin Han
• Published 24 May 2022
• Physics

The fermion doubling problem has an important impact on quantum gravity, by revealing the tension between fermion and the fundamental discreteness of quantum spacetime. In this work, we discover that in Loop Quantum Gravity, the quantum geometry involving superposition of states associated with lattice refinements provides a resolution to the fermion doubling problem. We construct and analyze the fermion propagator on the quantum geometry, and we show that all fermion doubler modes are suppressed in the propagator. Our result suggests that the superposition nature of quantum geometry should resolve the tension between fermion and the fundamental discreteness, and relate to the continuum limit of quantum gravity. The physical world is made of gravity and matters.