Abstract
We construct a power series representation of certain functional integrals involving Grassmann variables that appear in Euclidean fermionic quantum field theory on a finite lattice in dimensions greater than or equal to 2. Our expansion has a local structure, is clean, and provides an easy alternative to the decoupling expansion and Mayer-type cluster expansions in any analysis. As an example, we show the exponential decay of the two-point truncated correlation function (uniform in volume) in a massive Gross–Neveu model on a unit lattice.
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