Color Grosse-Wulkenhaar models: One-loop $β$-functions

Details Color Grosse-Wulkenhaar models: One-loop $β$-functions Color Grosse-Wulkenhaar models: One-loop $β$-functions

2008-05-16

arxiv.org/abs/0805.2538v1

Eur.Phys.J.C58:115-122,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 6 Figures

Scientific paper

10.1140/epjc/s10052-008-0708-1

The $\beta$-functions of O(N) and U(N) invariant Grosse-Wulkenhaar models are computed at one loop using the matrix basis. In particular, for ``parallel interactions", the model is proved asymptotically free in the UV limit for $N >1$, and has a triviality problem or Landau ghost for $N<1$. The vanishing $\beta$-function is recovered solely at N=1. We discuss various possible consequences of these results.

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