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On Batalin–Vilkovisky formalism of non-commutative field theories

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Abstract

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.

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Authors and Affiliations

  1. Institute for Theoretical Physics & Astrophysics, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic

    Klaus Bering

  2. Department of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria

    Harald Grosse

Authors
  1. Klaus Bering
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  2. Harald Grosse
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Correspondence to Klaus Bering.

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Bering, K., Grosse, H. On Batalin–Vilkovisky formalism of non-commutative field theories. Eur. Phys. J. C 68, 313–324 (2010). https://doi.org/10.1140/epjc/s10052-010-1323-5

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  • DOI: https://doi.org/10.1140/epjc/s10052-010-1323-5

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