https://doi.org/10.1140/epjc/s10052-010-1323-5
Regular Article - Theoretical Physics
On Batalin–Vilkovisky formalism of non-commutative field theories
1
Institute for Theoretical Physics & Astrophysics, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic
2
Department of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria
* e-mail: bering@physics.muni.cz
Received:
9
February
2010
Published online:
1
May
2010
We apply the BV formalism to non-commutative field theories, introduce BRST symmetry, and gauge-fix the models. Interestingly, we find that treating the full gauge symmetry in non-commutative models can lead to reducible gauge algebras. As one example we apply the formalism to the Connes–Lott two-point model. Finally, we offer a derivation of a superversion of the Harish-Chandra–Itzykson–Zuber integral.
© Springer-Verlag / Società Italiana di Fisica, 2010
