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arXiv · 2104.00043

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

S. A. Franchino-Viñas·S. Mignemi
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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.

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S. A. Franchino-Viñas, S. Mignemi. 2021-03-31. The Snyder-de Sitter Scalar $\varphi^4_{\star}$ Quantum Field Theory in D=2. https://doi.org/10.1016/j.nuclphysb.2022.115871

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