Spectral dimension and diffusion in multiscale spacetimes
نویسندگان
چکیده
منابع مشابه
Diffusion in multiscale spacetimes.
We study diffusion processes in anomalous spacetimes regarded as models of quantum geometry. Several types of diffusion equation and their solutions are presented and the associated stochastic processes are identified. These results are partly based on the literature in probability and percolation theory but their physical interpretation here is different since they apply to quantum spacetime i...
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Formulas for the most general case of the zeta function associated to a quadratic+linear+constant form (in Z) are given. As examples, the spectral zeta functions ζα(s) corresponding to bosonic (α = 2) and to fermionic (α = 3) quantum fields living on a noncommutative, partially toroidal spacetime are investigated. Simple poles show up at s = 0, as well as in other places (simple or double, depe...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2013
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.88.124025