Supersymmetric quantum mechanics on the lattice: I. Loop formulation
arXiv:1412.5393 · doi:10.1016/j.nuclphysb.2015.03.001
Abstract
Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a novel approach which solves this problem in low dimensions by formulating the path integral on the lattice in terms of fermion loops. For N = 2 supersymmetric quantum mechanics the loop formulation becomes particularly simple and in this paper - the first in a series of three - we discuss in detail the reformulation of this model in terms of fermionic and bosonic bonds for various lattice discretisations including one which is Q-exact.
33 pages, 8 figures, 3 tables; typos in text, eq.(107) and table 3 corrected
References in corpus (15)
- Deconstruction and other approaches to supersymmetric lattice field theories
- 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
- Cluster simulation of relativistic fermions in two space-time dimensions
- Relationship between various supersymmetric lattice models
- Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency
- Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
- Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model
- Loop formulation of supersymmetric Yang-Mills quantum mechanics
- Supersymmetric quantum mechanics on the lattice: II. Exact results
- Supersymmetric quantum mechanics on the lattice: III. Simulations and algorithms
- Supersymmetric lattice models in one and two dimensions
- Loop formulation of the supersymmetric nonlinear O(N) sigma model
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- Supersymmetric quantum mechanics on the lattice: II. Exact results
- Direct computational approach to lattice supersymmetric quantum mechanics
- Supersymmetric quantum mechanics on the lattice: III. Simulations and algorithms
- Complex Langevin Dynamics and 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
- Initial tensor construction and dependence of the tensor renormalization group on initial tensors
- Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals
- Canonical simulations of supersymmetric SU(N) Yang-Mills quantum mechanics