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A method for simulating chiral fermions on the lattice
Open accessAbstract
Abstract I show that a lattice theory of massive interacting fermions in 2 n +1 dimensions may be used to simulate the behavior of massless chiral fermions in 2 n dimensions if the fermion mass has a step function shape in the extra dimension. The massless states arise as zero modes bound to the mass defect, and all doublers can be given large gauge invariant masses. The manner in which the anomalies are realized is transparent: apparent chiral anomalies in the 2 n -dimensional subspace correspond to charge flow into the extra dimension.
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Citations
Cites
Symmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
A PCAC puzzle: π0→γγ in the σ-model
Bell, J. S., & Jackiw, R. (1969) · Il Nuovo Cimento A · doi:10.1007/bf02823296 · Cited by 3,284
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
Absence of neutrinos on a lattice
Nielsen, H. B., & Ninomiya, M. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90524-1 · Cited by 964
Cited by
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322
Topological field theory of time-reversal invariant insulators
Qi, X.-L., Hughes, T. L., & Zhang, S.-C. (2008) · Physical Review B · doi:10.1103/physrevb.78.195424 · Cited by 3,329
Metadata
- Authors
- Kaplan, D. B.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1992-08
- Volume
- 288
- Issue
- 3-4
- Pages
- 342-347
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W1546518322
- Cited by
- 1,156
- References
- 4
- FWCI
- 16.78
- Type
- journal article
- Language
- en
- Open access
- green
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- Kaplan, D. B. (1992). A method for simulating chiral fermions on the lattice. Physics Letters B. https://doi.org/10.1016/0370-2693(92)91112-m
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