Symmetries of noncommutative scalar field theory

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
Hauptverfasser: de Goursac, Axel, Wallet, Jean-Christophe
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Field theory
Harmonics
High Energy Physics - Theory
Invariance
Invariants
Mathematical analysis
Mathematical Physics
Mathematics
Orbits
Physics
Scalars
Symmetry
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Zusammenfassung: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.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/5/055401