Evaluating Grassmann Integrals

Michael Creutz
Phys. Rev. Lett. 81, 3555 – Published 26 October 1998
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Abstract

I discuss a simple numerical algorithm for 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 with 1000 Grassmann variables can be evaluated on a workstation. The technique is illustrated with a spinless fermion hopping along a one dimensional chain.

  • Received 30 June 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.3555

©1998 American Physical Society

Authors & Affiliations

Michael Creutz*

  • Physics Department, Brookhaven National Laboratory, Upton, New York 11973

  • *Email address: creutz@bnl.gov

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Issue

Vol. 81, Iss. 17 — 26 October 1998

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