Zero point energy on extra dimension: Noncommutative Torus

In this paper we calculate the zero point energy density experienced by observers on M^4 due to a massless scalar field defined throughout M^4 x T^2_F, where T^2_F are fuzzy extra dimensions. Using the Green's function approach we calculate the energy density for the commutative torus and the f...

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Bibliographic Details
Published inarXiv.org
Main Authors Fabi, S, Harms, B, Karatheodoris, G
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.04.2007
Subjects
Expanding universe theory
Flux density
Green's functions
Mathematical analysis
Physics - High Energy Physics - Theory
Toruses
Zero point energy
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Summary:In this paper we calculate the zero point energy density experienced by observers on M^4 due to a massless scalar field defined throughout M^4 x T^2_F, where T^2_F are fuzzy extra dimensions. Using the Green's function approach we calculate the energy density for the commutative torus and the fuzzy torus. We calculate then the energy density for the fuzzy torus using the Hamiltonian approach. Agreement is shown between Green's function and Hamiltonian approaches.
ISSN:2331-8422
DOI:10.48550/arxiv.0704.1784