Nine physical energy scales are claimed to fall on one straight line generated by a strongly fluctuating lattice with log-normal link sizes, and the same line is used to estimate the electron and muon g-2 deviations from the Standard Model.
Wilson fermion doubling phenomenon on irregular lattice: the similarity and difference with the case of regular lattice
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abstract
It is shown that the Wilson fermion doubling phenomenon on irregular lattices (simplicial complexes) does exist. This means that the irregular (not smooth) zero or soft modes exist. The statement is proved on 4 Dimensional lattice by means of the Atiyah-Singer index theorem, then it is extended easily into the cases $D<4$. But there is a fundamental difference between doubled quanta on regular and irregular lattices: in the latter case the propagator decreases exponentially. This means that the doubled quanta on irregular lattice are "bad" quasiparticles.
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Approximate Minimal SU(5), Several Fundamental Scales, Fluctuating Lattice
Nine physical energy scales are claimed to fall on one straight line generated by a strongly fluctuating lattice with log-normal link sizes, and the same line is used to estimate the electron and muon g-2 deviations from the Standard Model.