Casimir effect in Snyder space

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...

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Main Authors: S.A. Franchino-Viñas, S. Mignemi
Format: Article
Language:English
Published: Elsevier 2020-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320302388
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spelling doaj-f28c9ba096d24fe385a3fec28db3e1622020-11-25T02:46:18ZengElsevierNuclear Physics B0550-32132020-10-01959115152Casimir effect in Snyder spaceS.A. Franchino-Viñas0S. Mignemi1Departamento de Física, Facultad de Ciencias Exactas Universidad Nacional de La Plata, C.C. 67 (1900), La Plata, Argentina; Institut für Theoretische Physik, Universität Heidelberg, D-69120 Heidelberg, Germany; Theoretisch-Physikalisches Institut, Friedrich Schiller Universität Jena, Max Wien Platz 1, 07743 Jena, Germany; Corresponding author.Dipartimento di Matematica e Informatica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy; INFN, Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, ItalyWe 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.http://www.sciencedirect.com/science/article/pii/S0550321320302388
collection DOAJ
language English
format Article
sources DOAJ
author S.A. Franchino-Viñas
S. Mignemi
spellingShingle S.A. Franchino-Viñas
S. Mignemi
Casimir effect in Snyder space
Nuclear Physics B
author_facet S.A. Franchino-Viñas
S. Mignemi
author_sort S.A. Franchino-Viñas
title Casimir effect in Snyder space
title_short Casimir effect in Snyder space
title_full Casimir effect in Snyder space
title_fullStr Casimir effect in Snyder space
title_full_unstemmed Casimir effect in Snyder space
title_sort casimir effect in snyder space
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-10-01
description 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.
url http://www.sciencedirect.com/science/article/pii/S0550321320302388
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