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arXiv · 1911.08921

Asymptotic freedom for $\lambda \phi^4_{\star}$ QFT in Snyder-de Sitter space

Sebastián A. Franchino-Viñas·Salvatore Mignemi
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Abstract

We analyze the model of a self-interacting $\phi^4_{\star}$ scalar field theory in Snyder-de Sitter space. After analytically computing the one-loop beta functions {in the small noncommutativity and curvature limit}, we solve numerically the corresponding system of differential equations, showing that in this limit the model possesses at least one regime in which the theory is asymptotically free. Moreover, in a given region of the parameter space we also observe a peculiar running of the parameter associated to the curvature, which changes its sign and therefore can be interpreted as a transition from an IR de-Sitter space to and UV anti-de Sitter one.

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Sebastián A. Franchino-Viñas, Salvatore Mignemi. 2019-11-20. Asymptotic freedom for $\lambda \phi^4_{\star}$ QFT in Snyder-de Sitter space. https://doi.org/10.1140/epjc%2Fs10052-020-7918-6

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