We study the spectral dimension associated with diffusion processes on Euclidean κ-Minkowski space. We start by describing a geometric construction of the "Euclidean" momentum group manifold related to κ-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. © 2014 American Physical Society.
Diffusion on κ -Minkowski space / Arzano, M.; Trzesniewski, T.. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 89:12(2014). [10.1103/PhysRevD.89.124024]
Diffusion on κ -Minkowski space
Arzano M.;
2014
Abstract
We study the spectral dimension associated with diffusion processes on Euclidean κ-Minkowski space. We start by describing a geometric construction of the "Euclidean" momentum group manifold related to κ-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. © 2014 American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
