Fermionic functionals without Grassmann numbers

Details Fermionic functionals without Grassmann numbers Fermionic functionals without Grassmann numbers

2002-10-31

arxiv.org/abs/hep-th/0210307v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

Since any fermionic operator \psi can be written as \psi=q+ip, where q and p are hermitian operators, we use the eigenvalues of q and p to construct a functional formalism for calculating matrix elements that involve fermionic fields. The formalism is similar to that for bosonic fields and does not involve Grassmann numbers. This makes possible to perform numerical fermionic lattice computations that are much faster than not only other algorithms for fermions, but also algorithms for bosons.

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