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- W2569162552 abstract "We show that the flow from the ultraviolet to the infrared sector of any multidimensional nonlinear field theory approaches chaotic dynamics in a universal way. This result stems from several independent routes to aperiodic behavior and implies that the infrared attractor of effective field theories is likely to replicate the geometry of multifractal sets. In particular, we find that the gravitational Lagrangian is characterized by a single generalized dimension (D = 2), whereas the Standard Model (SM) Lagrangian requires a triplet of generalized dimensions (D = 2,3 and 4 ). On the one hand, this finding disfavors any naive field-theoretic unification of SM and General Relativity (GR). On the other, it hints that the continuous spectrum of generalized dimensions lying between 2 and 4 may naturally account for the existence of non-baryonic Dark Matter." @default.
- W2569162552 created "2017-01-13" @default.
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- W2569162552 date "2016-12-01" @default.
- W2569162552 modified "2023-09-23" @default.
- W2569162552 title "On the Multifractal Description of Lagrangian Field Theory" @default.
- W2569162552 hasPublicationYear "2016" @default.
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