Symmetries of noncommutative scalar field theory

Marcillaud de Goursac, Axel;Wallet, Jean-Christophe
(2011) Journal of Physics A: Mathematical and Theoretical — Vol. 44, n° 5, p. 55401 (2011)

Files

09112645.pdf
  • Open Access
  • Adobe PDF
  • 388.14 KB
Download

Details

Authors
  • Marcillaud de Goursac, AxelUCLouvain
    Author
  • Wallet, Jean-ChristopheUniversité Paris Sud 11
    Author
Abstract
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.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Marcillaud de Goursac, A., & Wallet, J.-C. (2011). Symmetries of noncommutative scalar field theory. Journal of Physics A: Mathematical and Theoretical, 44(5), 55401. https://doi.org/10.1088/1751-8113/44/5/055401 (Original work published 2011)