On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories
High Energy Physics - Theory
2014-11-20 v4
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.
Keywords
Cite
@article{arxiv.0908.1229,
title = {On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories},
author = {Klaus Bering and Harald Grosse},
journal= {arXiv preprint arXiv:0908.1229},
year = {2014}
}
Comments
20 pages, LaTeX. v2: minor corrections. v3: Added an Appendix about Harish-Chandra-Itzykson-Zuber integrals. v4: Added References