• 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}
}
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… 
1 Citations

Figures from this paper

Loop quantum black hole in a gravitational collapse model

The gravitational collapse plays an important role in the formation of black holes as well as for our understanding of the spacetime structure. In this paper, we propose the exterior e ff ective

References

SHOWING 1-10 OF 34 REFERENCES

QUANTUM FIELDS ON A LATTICE

Preface 1. Introduction 2. Scalar fields 3. Gauge fields 4. Fermion fields 5. Quantum chromodynamics 6. Higgs and Yukawa models 7. Simulation algorithms 8. Appendix References Index.

Front

  • Philip D. Plowright
  • 2020 Fourth World Conference on Smart Trends in Systems, Security and Sustainability (WorldS4)
  • 2020

Nucl

  • Phys. B 295, 443
  • 1988

Phys

  • Lett. B 105, 219
  • 1981

Phys

  • Rev. D 103, 066016
  • 2021

Phys

  • Rev. Lett. 70, 3844
  • 1993

Phys

  • Rev. D 101, 046003
  • 2020

Phys

  • Rev. D 11, 395
  • 1975

Commun

  • Math. Phys. 267, 703
  • 2006

arXiv:0812.1537 [gr-qc

  • 2008