The DOI matches its Crossref record; 194 of the 194 references it cites were found in a registry or an index.
Quantum field theory on noncommutative spaces
Open accessAbstract
Abstract A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl–Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang–Mills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an in-depth study of the gauge group of noncommutative Yang–Mills theory. Some of the more mathematical ideas and techniques of noncommutative geometry are also briefly explained.
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Cites
Infinite-Dimensional Lie Algebras
Kac, V. G. (1990) · Cambridge University Press eBooks · doi:10.1017/cbo9780511626234 · Cited by 5,244
Wilson, K. G. (1974) · Physical Review D · doi:10.1103/physrevd.10.2445 · Cited by 4,507
A planar diagram theory for strong interactions
Hooft, G. '. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90154-0 · Cited by 4,476
String Theory and Noncommutative GeometryPreprint
Nathan Seiberg, B., & Witten, E. (1999) · Cited by 3,402
Quantum mechanics as a statistical theory
Moyal, J. E. (1949) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100000487 · Cited by 3,116
M theory as a matrix model: A conjecture
Banks, T., Fischler, W., Shenker, S. H., & Susskind, L. (1997) · Physical Review D · doi:10.1103/physrevd.55.5112 · Cited by 2,748
The Theory of Groups and Quantum Mechanics
Weyl, H. (1931) · International Linear Collider · Cited by 2,745
Deformation Quantization of Poisson Manifolds
Kontsevich, M. (2003) · Letters in Mathematical Physics · doi:10.1023/b:math.0000027508.00421.bf · Cited by 2,296
Douglas, M., & Nekrasov, N. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.977 · Cited by 2,096
Constraints on supersymmetry breaking
Witten, E. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90071-2 · Cited by 2,003
Metadata
- Authors
- Szabo, R.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2003-05
- Volume
- 378
- Issue
- 4
- Pages
- 207-299
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W2161879643
- Cited by
- 1,650
- References
- 194
- FWCI
- 77.54
- Type
- journal article
- Language
- en
- Open access
- green
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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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