A translation-invariant renormalizable non-commutative scalar model

Abstract

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.

17 pages, 3 figures

References in corpus (6)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Noncommutative Induced Gauge Theory
• Vacuum configurations for renormalizable non-commutative scalar models
• Two and Three Loops Beta Function of Non Commutative ${\Phi }_4^4$ Theory
• Parametric representation of "critical" noncommutative QFT models
• Renormalization and Induced Gauge Action on a Noncommutative Space

Cited by in corpus (5)

• One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
• Commutative limit of a renormalizable noncommutative model
• Parametric representation of a translation-invariant renormalizable noncommutative model
• Improved Localization of a Renormalizable Non-Commutative Translation Invariant U(1) Gauge Model
• One-loop $\beta$ functions of a translation-invariant renormalizable noncommutative scalar model