Field Theory with Coordinate Dependent Noncommutativity
We discuss the formulation of classical field theoretical models on n-dimensional noncommutative space-time defined by a generic associative star product. A simple procedure for deriving conservation laws is presented and applied to field theories in noncommutative space-time to obtain local conserv...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2018 |
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209871 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Field Theory with Coordinate Dependent Noncommutativity / D.N. Blaschke, F. Gieres, S. Hohenegger, M. Schweda, M. Wohlgenannt // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 111 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We discuss the formulation of classical field theoretical models on n-dimensional noncommutative space-time defined by a generic associative star product. A simple procedure for deriving conservation laws is presented and applied to field theories in noncommutative space-time to obtain local conservation laws (for the electric charge and for the energy-momentum tensor of free fields) and, more generally, an energy-momentum balance equation for interacting fields. For free field models, an analogy with the damped harmonic oscillator in classical mechanics is pointed out, which allows us to get a physical understanding of the obtained conservation laws. To conclude, the formulation of field theories on curved noncommutative space is addressed.
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| ISSN: | 1815-0659 |