On Batalin-Vilkovisky formalism of non-commutative field theories

Autor(en)

Klaus Bering, Harald Grosse

Abstrakt

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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Masaryk University

Journal

European Physical Journal C

Band

68

Seiten

313-324

Anzahl der Seiten

12

ISSN

1434-6044

DOI

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

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

1030 Physik, Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/144785dd-eac5-49b6-80aa-15f8bc500dc3