Jaggedness of path integral trajectories

@article{Bogojevic2005JaggednessOP,
  title={Jaggedness of path integral trajectories},
  author={Aleksandar Bogojevic and Antun Balaz and Aleksandar Belic},
  journal={Physics Letters A},
  year={2005},
  volume={345},
  pages={258-264}
}
We define and investigate the properties of the jaggedness of path integral trajectories. The new quantity is shown to be scale invariant and to satisfy a self-averaging property. Jaggedness allows for a classification of path integral trajectories according to their relevance. We show that in the continuum limit the only paths that are not of measure zero are those with jaggedness 1/2, i.e. belonging to the same equivalence class as random walks. The set of relevant trajectories is thus… Expand

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