Evaluating Grassmann Integrals

Details Evaluating Grassmann Integrals Evaluating Grassmann Integrals

1998-06-30

arxiv.org/abs/hep-lat/9806037v2

Phys.Rev.Lett. 81 (1998) 3555-3558

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 4 figures; replacement fixes a few typos and adds a couple more points to one of the figures; final version for publi

Scientific paper

10.1103/PhysRevLett.81.3555

I discuss a simple numerical algorithm for the direct evaluation of multiple Grassmann integrals. The approach is exact, suffers no Fermion sign problems, and allows arbitrarily complicated interactions. Memory requirements grow exponentially with the interaction range and the transverse size of the system. Low dimensional systems of order a thousand Grassmann variables can be evaluated on a workstation. The technique is illustrated with a spinless fermion hopping along a one dimensional chain.

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