Casimir effect in Snyder Space
High Energy Physics - Theory
2020-09-28 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2005.12610,
title = {Casimir effect in Snyder Space},
author = {S. A. Franchino-Viñas and S. Mignemi},
journal= {arXiv preprint arXiv:2005.12610},
year = {2020}
}
Comments
15 pages, discussion regarding the large-mass asymptotics added, typos corrected, missing factor in eq. (1) corrected