Supersymmetric quantum mechanics on the lattice: III. Simulations and algorithms
arXiv:1505.07397 · doi:10.1016/j.nuclphysb.2015.07.020
Abstract
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.
21 pages, 10 figures; typos in text corrected
References in corpus (10)
- Low-dimensional Supersymmetric Lattice Models
- Observing dynamical supersymmetry breaking with euclidean lattice simulations
- Euclidean lattice simulation for the dynamical supersymmetry breaking
- Efficient simulation of relativistic fermions via vertex models
- Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model
- Supersymmetric quantum mechanics on the lattice: I. Loop formulation
- Supersymmetric quantum mechanics on the lattice: II. Exact results
- Supersymmetric lattice models in one and two dimensions
- Spontaneous supersymmetry breaking in the 2d N=1 Wess-Zumino model
- Loop formulation of the supersymmetric nonlinear O(N) sigma model
Cited by in corpus (8)
- Progress and prospects of lattice supersymmetry
- Simulation strategies for the massless lattice Schwinger model in the dual formulation
- Lattice studies of supersymmetric gauge theories
- Supersymmetric quantum mechanics on the lattice: I. Loop formulation
- Supersymmetric quantum mechanics on the lattice: II. Exact results
- Direct computational approach to lattice supersymmetric quantum mechanics
- Numerical analyses of N=2 supersymmetric quantum mechanics with cyclic Leibniz rule on lattice
- A particle in equilibrium with a bath realizes worldline supersymmetry