A no-go theorem for regularizing chiral fermions
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Absence of neutrinos on a lattice
Nielsen, H. B., & Ninomiya, M. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90361-8 · Cited by 1,719 · see citing works
Self-citationConfinement and the Critical Dimensionality of Space-Time
Creutz, M. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.43.553 · Cited by 416 · see citing works
Experiments with a Gauge-Invariant Ising System
Creutz, M. J., Jacobs, L. J., & Rebbi, C. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1390 · Cited by 344 · see citing works
Gauge Theories of Weak Interactions
Taylor, J. C., & Quinn, H. R. (1976) · Physics Today · doi:10.1063/1.3024523 · Cited by 294 · see citing works
H II Regions and Related Topics
Downes, D., & Wilson, T. L. (1975) · Lecture notes in physics · doi:10.1007/3-540-07409-0 · Cited by 77 · see citing works
Perturbation Theory for SLAC Lattice Fermions
Rabin, J. (2020) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · Cited by 1 · see citing works
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From quantum cellular automata to quantum lattice gases
Meyer, D. A. (1996) · Journal of Statistical Physics · doi:10.1007/bf02199356 · Cited by 556 · see citing works
Chiral Anomaly as the Origin of the Planar Hall Effect in Weyl Semimetals
Nandy, S., Sharma, G., Taraphder, A., & Tewari, S. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.176804 · Cited by 355 · see citing works
Anomalous Hall effect in ZrTe5
Liang, T., Lin, J., Gibson, Q., Kushwaha, S., Liu, M., Wang, W., Xiong, H., Sobota, J. A., Hashimoto, M., Kirchmann, P. S., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0078-z · Cited by 293 · see citing works
Phase transitions in quantum chromodynamics
Meyer-Ortmanns, H. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.473 · Cited by 161 · see citing works
““No-Go” theorems by Nielsen and Ninomiya (1981a, 1981b) explain the failure of naive transcription and tell us that no lattice formulation of the fermionic action exists that is satisfactory in all aspects.”
Bulmash, D., Liu, C.-X., & Qi, X.-L. (2014) · Physical Review B · doi:10.1103/physrevb.89.081106 · Cited by 144 · see citing works
Topology and Symmetry of Quantum Materials via Nonlinear Optical Responses
Orenstein, J., Moore, J. E., Morimoto, T., Torchinsky, D. H., Harter, J. W., & Hsieh, D. (2021) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013712 · Cited by 145 · see citing works
Derivation of the Dirac equation from principles of information processing
D'Ariano, G. M., & Perinotti, P. (2014) · Physical Review A · doi:10.1103/physreva.90.062106 · Cited by 103 · see citing works
Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
Sharma, G., Goswami, P., & Tewari, S. (2017) · Physical Review B · doi:10.1103/physrevb.96.045112 · Cited by 98 · see citing works
Quantum field as a quantum cellular automaton: The Dirac free evolution in one dimension
Bisio, A., D’Ariano, G. M., & Tosini, A. (2015) · Annals of Physics · doi:10.1016/j.aop.2014.12.016 · Cited by 81 · see citing works
Ishizuka, H., Hayata, T., Ueda, M., & Nagaosa, N. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.216601 · Cited by 76 · see citing works
Photovoltaic chiral magnetic effect in Weyl semimetals
Taguchi, K., Imaeda, T., Sato, M., & Tanaka, Y. (2016) · Physical Review B · doi:10.1103/physrevb.93.201202 · Cited by 74 · see citing works
Yu, R., Weng, H., Fang, Z., Ding, H., & Dai, X. (2016) · Physical Review B · doi:10.1103/physrevb.93.205133 · Cited by 33 · see citing works
High-energy physics in a new guise
Franz, M. (2008) · Physics · doi:10.1103/physics.1.36 · Cited by 14 · see citing works
- Authors
- Nielsen, H. B., & Ninomiya, M.
- Affiliations
- University of Copenhagen (DK)
- Rutherford Appleton Laboratory (GB)
- ORCID
- Nielsen, H.B.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1981-10
- Volume
- 105
- Issue
- 2-3
- Pages
- 219-223
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2027639150
- Cited by
- 951
- References
- 6
- Citations by year
- 2026: 40 · 2025: 54 · 2024: 62 · 2023: 67 · 2022: 58 · 2021: 68 · 2020: 53 · 2019: 52 · 2018: 47 · 2017: 51 · 2016: 37 · 2015: 22 · 2014: 34 · 2013: 31 · 2012: 14
- FWCI
- 4.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters B (publishedVersion)
- Science and Technology Facilities Council (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Keywords
- chiral fermions, no-go theorem, regularization, lattice regularization, chiral anomaly, chiral fermion doubling
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