Supersymmetric quantum mechanics on the lattice: III. Simulations and algorithms

Baumgartner, David; Wenger, Urs (2015). Supersymmetric quantum mechanics on the lattice: III. Simulations and algorithms. Nuclear physics. B, 899, pp. 375-394. North Holland 10.1016/j.nuclphysb.2015.07.020

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In the fermion loop formulation the contributions to the partition function naturally separate into topological equivalence classes with a definite sign. This separation forms the basis for an efficient fermion simulation algorithm using a fluctuating open fermion string. It guarantees sufficient tunnelling between the topological sectors, and hence provides a solution to the fermion sign problem affecting systems with broken supersymmetry. Moreover, the algorithm shows no critical slowing down even in the massless limit and can hence handle the massless Goldstino mode emerging in the supersymmetry broken phase. In this paper – the third in a series of three – we present the details of the simulation algorithm and demonstrate its efficiency by means of a few examples.

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