Color Grosse-Wulkenhaar models : One-loop β-functions 1

@inproceedings{Geloun2008ColorGM,
  title={Color Grosse-Wulkenhaar models : One-loop β-functions 1},
  author={Joseph Ben Geloun and Vincent Rivasseau},
  year={2008}
}
The β-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 β-function is recovered solely at N = 1. We discuss various… CONTINUE READING