Year: 2014
Type: article
Abstract: We study the spectral dimension associated with diffusion processes on Euclidean $\ensuremath{\kappa}$-Minkowski space. We start by describing a geometric construction of the ``Euclidean'' momentum group manifold related to $\ensuremath{\kappa}$-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.
Authors: Michele Arzano, Tomasz Trześniewski
Institutions: Sapienza University of Rome, University of Wrocław
Language: Latvian
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1497218440