A GEOMETRICAL VIEW OF THE MINUS-SIGN PROBLEM

A. Muramatsu, G. Zumbach and X. Zotos
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A. Muramatsu: Physikalisches Institut, Universität Würzburg, Am Hubland, 8700 Würzburg, Fed. Rep. of Germany
G. Zumbach: Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1, 7000 Stuttgart 80, Fed. Rep. of Germany
X. Zotos: École Polytechnique Fédéral de Lausanne (IRRMA), PHB-Ecublens, Fed. Rep. of Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 01, 185-193

Abstract: It is shown that the sign of the fermionic determinant in the projector Monte Carlo method is directly related to a topological invariant. A key ingredient to obtain this result is the identification of the appropriate manifolds to describe the evolution of a fermionic trial wavefunction. They allow for a purely geometrical consideration of the minus-sign problem.

Keywords: Minus-sign problem; topological invariant (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000154

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