A Translation-invariant renormalizable non-commutative scalar model
Feb, 2008
16 pages
Published in:
- Commun.Math.Phys. 287 (2009) 275-290
e-Print:
- 0802.0791 [math-ph]
Report number:
- LPT-ORSAY-08-23
Citations per year
Abstract: (arXiv)
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.- non-commutative quantum field theory
- Moyal space
- perturbative renormalization
- phi**n model: 4
- differential geometry: noncommutative
- two-point function
- perturbation theory: higher-order
- renormalization
References(21)
Figures(3)