Journal
PHYSICAL REVIEW D
Volume 89, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.89.124024
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Funding
- Marie Curie Career Integration Grant within the 7th European Community Framework Programme
- John Templeton Foundation
- Foundation for Polish Science International PhD Projects Programme - EU European Regional Development Fund
- National Science Center [DEC-2011/02/A/ST2/00294]
- European Human Capital Program
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We study the spectral dimension associated with diffusion processes on Euclidean kappa-Minkowski space. We start by describing a geometric construction of the Euclidean momentum group manifold related to kappa-Minkowski space. On such space we identify various candidate Laplacian functions, i.e. deformed Casimir invariants, and calculate the corresponding spectral dimension for each case. The results obtained show a variety of running behaviors for the spectral dimension according to the choice of deformed Laplacian, from dimensional reduction to superdiffusion.
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