The β-function in duality-covariant noncommutative φ 4-theory

@inproceedings{Grosse2004TheI,
  title={The β-function in duality-covariant noncommutative φ 4-theory},
  author={Grosse and Wulkenhaar},
  year={2004}
}
  • Grosse, Wulkenhaar
  • Published 2004
We compute the one-loop β-functions describing the renormalisation of the coupling constant λ and the frequency parameter Ω for the real fourdimensional duality-covariant noncommutative φ-model, which is renormalisable to all orders. The contribution from the one-loop four-point function is reduced by the one-loop wavefunction renormalisation, but the βλ-function remains non-negative. Both βλ and βΩ vanish at the one-loop level for the duality-invariant model characterised by Ω = 1. Moreover… CONTINUE READING
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