Bosonization and Cluster Updating of Lattice Fermions

Details Bosonization and Cluster Updating of Lattice Fermions Bosonization and Cluster Updating of Lattice Fermions

1992-10-16

arxiv.org/abs/hep-lat/9210019v1

Phys.Lett. B311 (1993) 235-240

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages Latex, no figures

Scientific paper

10.1016/0370-2693(93)90561-U

A 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.

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