On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories

Details On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories

2009-08-09

arxiv.org/abs/0908.1229v4

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX. v2: minor corrections. v3: Added an Appendix about Harish-Chandra-Itzykson-Zuber integrals. v4: Added Referen

Scientific paper

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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