Snyder-de Sitter Meets the Grosse-Wulkenhaar Model

We study an interacting λϕ4⋆ 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...

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Autores principales: Franchino Viñas, Sebastián Alberto, Mignemi, Salvatore
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125479
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Sumario:We study an interacting λϕ4⋆ 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.