Casimir effect in Snyder Space

Abstract

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 of the momentum space, get disentangled in a given noncommutative setup. To this end, we consider a scalar field between two parallel plates in an anti-Snyder space. Additionally, the large mass decay in this noncommutative setup is not necessarily exponential.

15 pages, discussion regarding the large-mass asymptotics added, typos corrected, missing factor in eq. (1) corrected

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Cited by in corpus (8)

• Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
• Noncommutative Yang model and its generalizations
• Momentum gauge fields from curved momentum space through Kaluza-Klein reduction
• The Casimir effect for nonlinear sigma models and the Mermin-Wagner-Hohenberg-Coleman theorem
• Unitary equivalence in Generalized Uncertainty Principle theories
• Formal developments in curved momentum space: the quantum field theory roadmap
• Comparing $f(R)$ modified gravity and noncommutative geometry in the context of dark matter and traversable wormholes: a survey
• Thermal Casimir effect in $\kappa$-Minkowski space-time