Symmetries of noncommutative scalar field theory
We investigate symmetries of the scalar field theory with a harmonic term on the Moyal space with the Euclidean scalar product and general symplectic form. The classical action is invariant under the orthogonal group if this group acts also on the symplectic structure. We find that the invariance un...
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| Veröffentlicht in: | Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-02, Vol.44 (5), p.055401-12 |
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| container_title | Journal of physics. A, Mathematical and theoretical |
| container_volume | 44 |
| creator | de Goursac, Axel Wallet, Jean-Christophe |
| description | We investigate symmetries of the scalar field theory with a harmonic term on the Moyal space with the Euclidean scalar product and general symplectic form. The classical action is invariant under the orthogonal group if this group acts also on the symplectic structure. We find that the invariance under the orthogonal group can also be restored at the quantum level by restricting the symplectic structures to a particular orbit. |
| doi_str_mv | 10.1088/1751-8113/44/5/055401 |
| format | Article |
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| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Exact sciences and technology Field theory Harmonics High Energy Physics - Theory Invariance Invariants Mathematical analysis Mathematical Physics Mathematics Orbits Physics Scalars Symmetry |
| title | Symmetries of noncommutative scalar field theory |
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