We study an interacting $\lambda\,\phi^4_{\star}$ scalar field defined on Snyder-de Sitter space. Due to the noncommutativity as well as the curvature of this space, the renormalization of the two-point function differs from the commutative case. In particular, we show that the theory in the limit of small curvature and noncommutativity is described by a model similar to the Grosse-Wulkenhaar one. Moreover, very much akin to what happens in the Grosse-Wulkenhaar model, our computation demonstrates that there exists a fixed point in the renormalization group flow of the harmonic and mass terms.
CITATION STYLE
Franchino-Viñas, S. A., & Mignemi, S. (2020). Snyder-de Sitter Meets the Grosse-Wulkenhaar Model. In Progress and Visions in Quantum Theory in View of Gravity (pp. 163–170). Springer International Publishing. https://doi.org/10.1007/978-3-030-38941-3_6
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