Phys. Rev. D 76, 065010 (2007) [5 pages]Zero point energy on extra dimensions: Noncommutative torusReceived 25 April 2007; published 19 September 2007 In this paper we calculate the zero point energy density experienced by observers on M4 due to a massless scalar field defined throughout M4×TF2, where TF2 are fuzzy extra dimensions. Using the Green’s function approach we calculate the energy density for the commutative torus and the fuzzy torus. We also calculate the energy density for the fuzzy torus using the Hamiltonian approach. Agreement is shown between the Green’s function and Hamiltonian approaches. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.065010
DOI:
10.1103/PhysRevD.76.065010
PACS:
11.15.Bt
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