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Article Dans Une Revue European Physical Journal C: Particles and Fields Année : 2008

Color Grosse-Wulkenhaar models: One-loop $\beta$-functions

Résumé

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.

Dates et versions

hal-00281040 , version 1 (20-05-2008)

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Joseph Ben Geloun, Vincent Rivasseau. Color Grosse-Wulkenhaar models: One-loop $\beta$-functions. European Physical Journal C: Particles and Fields, 2008, 58, pp.115-122. ⟨hal-00281040⟩
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