2000/03/31 by Kazunori Takenaga, K. Takenaga
Mathematics · Physics and Astronomy · #Ambiguity #Computer science #Ground state #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantization (signal processing) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Statistics #Wave function #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.62.065001
published as Phys.Rev. D62 (2000) 065001 · 17 pages, final version to appear in Phys. Rev. D
arxiv created 2000/07/03 · openalex publication_date 2000/08/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Supersymmetric ground state wave functions of a model of supersymmetric quantum mechanics on S1 (supersymmetric simple pendulum) are studied. Supersymmetry can be broken due to the existence of an undetermined parameter, which is interpreted as a gauge field and appears as a firm consequence of quantization on a space with a nontrivial topology such as S1. The breaking does not depend on the leading term of the superpotential, contrary to the usual case. The mechanism of supersymmetry breaking is similar to that through boundary conditions of fields in supersymmetric quantum field theory on compactified space. The supersymmetric harmonic oscillator is realized in the limit of the infinite radius of S1 with the strength of the oscillator being constant.