Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
767674 | Communications in Nonlinear Science and Numerical Simulation | 2008 | 11 Pages |
Abstract
Fractional dynamics offers a reliable tool for the study of far-from equilibrium processes that display scale-invariant properties, dissipation and long-range correlations. This is particularly attractive when dealing with the complex dynamics generated in the deep ultraviolet regime of quantum field theory. We analyze a simple scalar field Lagrangian using Caputo derivatives and the approximation of low-level fractionality. Results may be extrapolated to more realistic field models and suggest a series of surprising implications regarding phenomena that are expected to emerge beyond the range of the standard model for particle physics.
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Authors
Ervin Goldfain,