publication . Article . Preprint . 2003

the square root of the dirac operator on superspace and the maxwell equations

Bzdak, Adam; Hadasz, Leszek;
Open Access
  • Published: 16 Dec 2003 Journal: Physics Letters B, volume 582, pages 113-116 (issn: 0370-2693, Copyright policy)
  • Publisher: Elsevier BV
Abstract
We re-consider the procedure of ``taking a square root of the Dirac equation'' on the superspace and show that it leads to the well known superfield W_\alpha and to the proper equations of motion for the components, i.e. the Maxwell equations and the massless Dirac equation.
Subjects
arXiv: High Energy Physics::TheoryGeneral Relativity and Quantum Cosmology
free text keywords: Nuclear and High Energy Physics, Two-body Dirac equations, Dirac spinor, symbols.namesake, symbols, Matrix representation of Maxwell's equations, Dirac sea, Dirac equation, Dirac algebra, Mathematical physics, Quantum electrodynamics, Dirac operator, Dirac comb, Physics, High Energy Physics - Theory
Related Organizations

[1] P. A. M. Dirac, Proc. R. Soc. (London) A117 (1928) 610; A118 (1928) 351.

[2] J. Szwed, The 'Square Root' Of The Dirac Equation Within Supersymmetry, Phys. Lett. B 181, 305 (1986).

[3] S. V. Ketov and Y. S. Prager, On The 'Square Root' Of The Dirac Equation Within Extended Supersymmetry, Acta Phys. Polon. B 21, 463 (1990) [Russ. Phys. J. 33, 207 (1990)].

[4] J. Wess and J. Bagger, Supersymmetry and Supergravity, Princeton Univeristy Press, Princeton, 1983.

[5] S. Weinberg, The Quantum Theory of Fields. Vol. III Supersymmetry, Cambridge University Press, Cambridge 2000.

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publication . Article . Preprint . 2003

the square root of the dirac operator on superspace and the maxwell equations

Bzdak, Adam; Hadasz, Leszek;