13 citations · 21 across the 4 of their papers we have counts for
4 papers
If the universe were curved and noncommutative
S. A. Franchino-Viñas, S. Mignemi
We review recent discussions concerning the definition of a quantum field theory in a curved and noncommutative space, the Snyder--de Sitter space. For a quartic self-interacting s…
The beauty of curved momentum space
S. A. Franchino-Viñas, S. Mignemi, J. J. Relancio
In this manuscript, we will discuss the notion of curved momentum space, as it arises in the discussion of noncommutative or doubly special relativity theories. We will illustrate…
Casimir effect in Snyder Space
S. A. Franchino-Viñas, S. Mignemi
We show that two indistinguishable aspects of the divergences occurring in the Casimir effect, namely the divergence of the energy of the higher modes and the non-com\-pact\-ness o…
Snyder-de Sitter meets the Grosse-Wulkenhaar model
S. A. Franchino-Viñas, S. Mignemi
We study an interacting scalar field defined on Snyder-de Sitter space. Due to the noncommutativity as well as the curvature of this space, the renormalization of…