Fermions and Emergent Noncommutative Gravity

Autor(en)

Daniela Klammer, Harold Steinacker

Abstrakt

Fermions coupled to Yang-Mills matrix models are studied from the point of view of emergent gravity. We show that the simple matrix model action provides an appropriate coupling for fermions to gravity, albeit with a non-standard spin connection. Integrating out the fermions in a nontrivial geometrical background induces indeed the Einstein-Hilbert action and a dilaton-like term, at least for on-shell geometries. This explains and precisely reproduces the UV/IR mixing for fermions in noncommutative gauge theory, extending recent results for scalar fields. It also explains why some UV/IR mixing remains even in supersymmetric models, except in the N = 4 case.

Organisation(en)

Mathematische Physik

Journal

Journal of High Energy Physics

Band

2008

Anzahl der Seiten

29

ISSN

1029-8479

DOI

https://doi.org/10.1088/1126-6708/2008/08/074

Publikationsdatum

2008

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/1c743953-9658-4f42-94f1-b6236837c5df