N. I. Farahat and Y. Güler, “Treatment of a Relativistic Particle in External Electromagnetic Field as a Singular System,” Nuovo Cimento B, Vol. 111, No. 4, 1996, pp. 513-520. http://dx.doi.org/10.1007/BF02724560

has been cited by the following article:

• TITLE: Path Integral Quantization of Superparticle with 1/4 Supersymmetry Breaking

  AUTHORS: Nasser Ismail Farahat, Hanaa Abdulkareem Elegla

  KEYWORDS: Hamilton-Jacobi Formalism; Singular Lagrangian; Supersymmetry

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.5, November 12, 2013

  ABSTRACT: We present path integral quantization of a massive superparticle in d =4 which preserves 1/4 of the target space supersymmetry with eight supercharges, and so corresponds to the partial breaking N = 8 to N = 2. Its worldline action contains a Wess-Zumino term, explicitly breaks d =4 Lorentz symmetry and exhibits one complex fermionic k-symmetry. We perform the Hamilton-Jacobi formalism of constrained systems, to obtain the equations of motion of the model as total differential equations in many variables. These equations of motion are in exact agreement with those obtained by Dirac’s method.