Normalization of the Ground State of the Supersymmetric Harmonic Oscillator

Ahmed Ayad, School of Physics, University of the Witwatersrand, Private Bag 3, WITS-2050, Johannesburg, South Africa
2020 Letters in High Energy Physics  
Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. So far, there has been no unbroken supersymmetry observed in nature, and if nature is described by supersymmetry, it must be broken. Supersymmetry may be broken spontaneously at any order of perturbation theory or dynamically due to nonperturbative effects. To examine the methods of supersymmetry breaking,
more » ... attention is given to discuss the normalization of the ground state of the supersymmetric harmonic oscillator. This study explains that perturbation theory gives incorrect results for both the ground-state wave function and the energy spectrum and it fails to give an explanation to the supersymmetry breaking.
doi:10.31526/lhep.2020.160 fatcat:qmnfxkfmjrgyddhph3px45vhqa