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arXiv · hep-lat/9612009

How to Measure the Fractal Geometry of the Relativistic Fermion Propagator

H. Kröger
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Abstract

We study the geometry of propagation of relativistic fermions. We propose how to measure its quantum mechanical length. Numerical lattice results for the free propagator of Dirac-Wilson fermions yield Hausdorff dimension d_H=2 for the unit-matrix component and d_H=1 for any gamma-matrix component. A possible generalization when matter interacts with radiation is discussed.

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H. Kröger. 1996-12-09. How to Measure the Fractal Geometry of the Relativistic Fermion Propagator. https://doi.org/10.1016/0375-9601(96)00125-9

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