Casimir effect in Snyder space

2020/05/31 by S. A. Franchino-Viñas, S. Mignemi · 13 citations
Mathematics · Physics and Astronomy · #Casimir effect #Classical mechanics #Cosmology and Gravitation Theories #Linguistics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Quantum Electrodynamics and Casimir Effect #Space (punctuation) #Theoretical physics #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2020.115152

published in Nuclear Physics B 959, 115152 (Elsevier BV) · 15 pages, discussion regarding the large-mass asymptotics added, typos corrected, missing factor in eq. (1) corrected

openalex publication_date 2020/08/26 · arxiv created 2020/09/25 · arxiv updated 2020/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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-compactness 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.

Citations

• The Casimir effect
• Attractive Forces between Flat Plates
• Casimir effect in (2+1)-dimensional noncommutative theories
• Boundaries and the Casimir effect in noncommutative space-time
• Casimir effect in minimal length theories based on a generalized uncertainty principle
• Principle of relative locality
• Regularization and renormalization of gauge fields
• Dimensional renorinalization : The number of dimensions as a regularizing parameter
• Vacuum energy from noncommutative models
• Constraints on non-Newtonian gravity and axionlike particles from measuring the Casimir force in nanometer separation range