Casimir effect in Snyder Space

TL;DR

This paper investigates the Casimir effect within Snyder space, revealing how divergences in energy and momentum space are disentangled in a noncommutative framework, and explores the decay behavior of large mass in this context.

Contribution

It introduces a novel analysis of the Casimir effect in anti-Snyder space, showing how divergences are separated and examining mass decay properties in this noncommutative setting.

Findings

Divergences of energy and momentum space are disentangled in Snyder space.

Large mass decay is not necessarily exponential in this noncommutative setup.

Provides insights into the behavior of quantum fields in noncommutative geometries.

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.