Regular Article - Theoretical Physics
On Batalin–Vilkovisky formalism of non-commutative field theories
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
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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