How to Measure the Fractal Geometry of the Relativistic Fermion Propagator

Details How to Measure the Fractal Geometry of the Relativistic Fermion Propagator How to Measure the Fractal Geometry of the Relativistic Fermion Propagator

1996-12-09

arxiv.org/abs/hep-lat/9612009v1

Phys.Lett. A213 (1996) 211-218

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, LaTeX + 6 figures, PS

Scientific paper

10.1016/0375-9601(96)00125-9

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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