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Space–time noncommutative field theories and unitarity
Open accessAbstract
Abstract We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space–time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This can be understood from string theory, since space noncommutative field theories describe a low energy limit of string theory in a background magnetic field. On the other hand, there is no regime in which space–time noncommutative field theory is an appropriate description of string theory. Whenever space–time noncommutative field theory becomes relevant massive open string states cannot be neglected.
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Cites
The IR/UV connection in the non-commutative gauge theories
Matusis, A., Susskind, L., & Toumbas, N. (2000) · Journal of High Energy Physics · doi:10.1088/1126-6708/2000/12/002 · Cited by 455
Cited by
Douglas, M., & Nekrasov, N. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.977 · Cited by 2,096
Quantum field theory on noncommutative spaces
Szabo, R. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00059-0 · Cited by 1,650
Noncommutative Field Theory and Lorentz Violation
Carroll, S. M., Harvey, J. A., Kostelecký, V. A., Lane, C. D., & Okamoto, T. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.141601 · Cited by 991
Quantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
3D Quantum Gravity and Effective Noncommutative Quantum Field Theory
Freidel, L., & Livine, E. R. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.221301 · Cited by 298
Metadata
- Authors
- Gomis, J., & Mehen, T.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2000-12
- Volume
- 591
- Issue
- 1-2
- Pages
- 265-276
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1987032514
- Cited by
- 537
- References
- 1
- FWCI
- 36.32
- Type
- journal article
- Language
- en
- Open access
- green
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