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19 January 2025
 
  » arxiv » hep-lat/9210019

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Bosonization and Cluster Updating of Lattice Fermions
Uwe-Jens Wiese ;
Date 16 Oct 1992
Journal Phys. Lett. B311 (1993) 235-240
Subject hep-lat cond-mat
AffiliationUniversität Bern
AbstractA lattice fermion model is formulated in Fock space using the Jordan-Wigner representation for the fermion creation and annihilation operators. The resulting path integral is a sum over configurations of lattice site occupation numbers $n(x,t) = 0,1$ which may be viewed as bosonic Ising-like variables. However, as a remnant of Fermi statistics a nonlocal sign factor arises for each configuration. When this factor is included in measured observables the bosonic occupation numbers interact locally, and one can use efficient cluster algorithms to update the bosonized variables.
Source arXiv, hep-lat/9210019
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