The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Lattice fermions
Abstract
The problem of formulating the field theory of Dirac particles on a spatial lattice is reviewed. In one dimension we construct free massless Dirac fields and Thirring fields and show their equivalence to the $X$ - $Y$ and asymmetric Heisenberg antiferromagnetic chains. In three dimensions we find that the simplest construction describes an isodoublet of massless Dirac fields. We discuss the incorporation of gauge degrees of freedom and illustrate how chiral symmetry is spontaneously broken by the interaction of gauge and fermion fields.
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Citations
Cites
Wilson, K. G. (1974) · Physical Review D · doi:10.1103/physrevd.10.2445 · Cited by 4,507
Hamiltonian formulation of Wilson's lattice gauge theories
Kogut, J., & Susskind, L. (1975) · Physical Review D · doi:10.1103/physrevd.11.395 · Cited by 2,021
Self-citationStrong-coupling calculations of lattice gauge theories: (1 + 1)-dimensional exercises
Banks, T., Susskind, L., & Kogut, J. (1976) · Physical Review D · doi:10.1103/physrevd.13.1043 · Cited by 296
Self-citationGauge fields on a lattice. I. General outlook
Balian, R., Drouffe, J. M., & Itzykson, C. (1974) · Physical Review D · doi:10.1103/physrevd.10.3376 · Cited by 192
Cited by
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)
Aoki, S., Aoki, Y., Bečirević, D., Blum, T., Colangelo, G., Collins, S., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., et al. (2020) · The European Physical Journal C · doi:10.1140/epjc/s10052-019-7354-7 · Cited by 710
From quantum cellular automata to quantum lattice gases
Meyer, D. A. (1996) · Journal of Statistical Physics · doi:10.1007/bf02199356 · Cited by 556
Relativistic high-power laser–matter interactions
Salamin, Y. I., Hu, S. X., Hatsagortsyan, K. Z., & Keitel, C. H. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.002 · Cited by 461
Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
Zohar, E., Cirac, J. I., & Reznik, B. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/1/014401 · Cited by 422
Nonperturbative QCD simulations with2+1flavors of improved staggered quarks
Bazavov, A., Toussaint, D., Bernard, C., Laiho, J., DeTar, C., Levkova, L., Oktay, M. B., Gottlieb, S., Heller, U. M., Hetrick, J. E., et al. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1349 · Cited by 417
Metadata
- Authors
- Susskind, L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1977-11-15
- Volume
- 16
- Issue
- 10
- Pages
- 3031-3039
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W4255397497
- Cited by
- 606
- References
- 4
- FWCI
- 1.43
- Type
- journal article
- Language
- en
- Open access
- closed
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- Susskind, L. (1977). Lattice fermions. Physical Review D. https://doi.org/10.1103/physrevd.16.3031
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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