Girsanov transformation on an SDE representation of the Fermi-Hubbard model yields a factorization-independent formula that proves antiferromagnetic signs for spin-spin correlations at half-filling on bipartite lattices at any temperature and supplies approximate ground-state energies via ODEs.
Hirsch, Discrete Hubbard-Stratonovich Transformation for Fermion Lattice Models , Physical Review B
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Thermodynamics of the Fermi-Hubbard Model through Stochastic Calculus and Girsanov Transformation
Girsanov transformation on an SDE representation of the Fermi-Hubbard model yields a factorization-independent formula that proves antiferromagnetic signs for spin-spin correlations at half-filling on bipartite lattices at any temperature and supplies approximate ground-state energies via ODEs.