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A Geometrical View Of The Minus-Sign Problem

Author

Listed:
  • 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)

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.

Suggested Citation

  • A. Muramatsu & G. Zumbach & X. Zotos, 1992. "A Geometrical View Of The Minus-Sign Problem," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 185-193.
    • Handle: RePEc:wsi:ijmpcx:v:03:y:1992:i:01:n:s0129183192000154
    DOI: 10.1142/S0129183192000154
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    Keywords

    Minus-sign problem; topological invariant;

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