An exact representation of the fermion dynamics in terms of Poisson processes

Details An exact representation of the fermion dynamics in terms of Poisson processes An exact representation of the fermion dynamics in terms of Poisson processes

1999-10-20

arxiv.org/abs/hep-lat/9910034v2

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LATTICE99 submission

Scientific paper

We present a simple derivation of a Feynman-Kac type formula to study fermionic systems. In this approach the real time or the imaginary time dynamics is expressed in terms of the evolution of a collection of Poisson processes. A computer implementation of this formula leads to a family of algorithms parametrized by the values of the jump rates of the Poisson processes. From these an optimal algorithm can be chosen which coincides with the Green Function Monte Carlo (GFMC) method in the limit when the latter becomes exact.

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