• DOI:10.1016/0550-3213(90)90121-S
Corpus ID: 121747777

A random walk representation of the Dirac propagator

@article{Ambjrn1990ARW,
  title={A random walk representation of the Dirac propagator},
  author={J. Ambj{\o}rn and B. Durhuus and T. J{\'o}nsson},
  journal={Nuclear Physics},
  year={1990},
  volume={330},
  pages={509-522}
}

J. Ambjørn, B. Durhuus, T. Jónsson

Published 1990

Physics

Nuclear Physics

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Abstract We define a discrete random walk with a matrix-valued transition function and show that the scaling limit of the two-point function of the walk is given by the Dirac propagator. We study the scaling limit of similar walks with curvature-dependent transition functions, which are analogous to the Ornstein-Uhlenbeck process, and show that the Dirac propagator can be recovered by a limiting procedure.