A translation-invariant renormalizable non-commutative scalar model
R. Gurau, J. Magnen, V. Rivasseau, A. Tanasa
TL;DR
This paper introduces a translation-invariant scalar field model on Moyal space that is proven to be renormalizable to all orders and free from UV/IR mixing issues.
Contribution
The paper presents a novel translation-invariant non-commutative scalar model with proven all-order renormalizability and absence of UV/IR mixing.
Findings
Model is free from UV/IR mixing.
Model is renormalizable to all orders.
Establishes a consistent non-commutative scalar field theory.
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.
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