On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	BERING LARSEN Klaus GROSSE Harald
Year of publication	2010
Type	Article in Periodical
Magazine / Source	European Physical Journal C (EPJC)
MU Faculty or unit	Faculty of Science
Citation
Web	http://arxiv.org/abs/0908.1229
Field	Theoretical physics
Keywords	Non-Commutative Geometry; Non-Commutative Field Theory; Matrix Models; Connes-Lott Model; Renormalization
Description	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 typically leads to reducible gauge algebras. As one example we apply the formalism to the Connes-Lott two-point model.
Related projects:	Mathematical structures and their physical applications