A Method for Measuring the Witten Index Using Lattice Simulation

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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23 pages, 9 figures; v2: references revised, section 2 improved and fig. 3 updated; v3: a version to appear in NPB

Scientific paper

We propose a method to measure the Witten index using lattice simulation. A
requirement for the lattice model is that it has at least one exact
supersymmetry at finite lattice spacing. We prove the validity of the method in
case of the supersymmetric quantum mechanics, where the index is well known.

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