A Translation-Invariant Renormalizable Non-Commutative Scalar Model
- First Online:
- Cite this article as:
- Gurau, R., Magnen, J., Rivasseau, V. et al. Commun. Math. Phys. (2009) 287: 275. doi:10.1007/s00220-008-0658-3
In this paper we propose a translation-invariant scalar model on the Moyal space. We prove that this model does not suffer from the UV/IR mixing and we establish its renormalizability to all orders in perturbation theory.