Path Resummations and the Fermion Sign Problem

  • A. Alavi
  • A.J.W. Thom
Part of the Lecture Notes in Physics book series (LNP, volume 703)


We review a recent method we have developed for Fermion quantum Monte Carlo. By using combinatorial arguments to perform resummations over paths, we reformulate the stochastic problem of sampling paths in terms of sampling “graphs”, which are much better behaved with regards sign-cancellation problems encountered in path-integral simulations of Fermions. Detailed mathematical derivations of the new results are presented.


Hubbard Model Fermion System Slater Determinant Star Graph Quantum Monte Carlo 
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Copyright information

© Springer 2006

Authors and Affiliations

  • A. Alavi
    • 1
  • A.J.W. Thom
    • 2
  1. 1.Chemistry DepartmentUniversity of CambridgeCambridgeU.K.
  2. 2.Chemistry DepartmentUniversity of CambridgeCambridgeU.K.

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