The Snyder-de Sitter Scalar ${\phi }_{\star }^4$ Quantum Field Theory in D=2

Abstract

We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormalizable at the one-loop level and compute the beta functions of the related couplings. The renormalization group flow is then studied numerically, arriving at the conclusion that noncommutative-curved deformations can yield both relevant and irrelevant contributions to the one-loop effective action.

12 pages, 3 figures

References in corpus (2)

• The $\kappa$-(A)dS noncommutative spacetime
• Worldline approach to the Grosse-Wulkenhaar model

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