ABSTRACT A systematic rigorous analysis of both massless fermion fields in the mass spectra of superstring theory is carried out. Our interest is in dynamical aspects of these fields. An explicit novel expression for the propagator of the massless Rarita-Schwinger field (the gravitino), in the mass spectrum involving massless fermions in superstring theory in 10 dimensions, is derived. The analysis is carried in the presence of a non-constrained external source so that the full expression of the propagator emerges. The number of associated degrees of freedom is also obtained. We work in a Coulomb-like gauge. The massless Dirac field (the dilatino), the other massless fermion field in the mass spectra of superstring theory in 10 dimensions, is first investigated to this end.
Cite this paper
E. Manoukian, "All the Fundamental Massless Fermion Fields in Superstring Theory: A Rigorous Analysis," Journal of Modern Physics, Vol. 3 No. 9, 2012, pp. 1027-1030. doi: 10.4236/jmp.2012.39135.
 M. B. Green, J. H. Schwarz and E. Witten, “Superstring Theory, Vols.1 and 2,” Cambridge University Press, Cambridge, 1988.
 K. Becker, M. Becker and J. H. Schwarz, “String Theory and M-Theory,” Cambridge University Press, Cambridge, 2007.
 E. B. Manoukian, “All the Fundamental Massless Bosonic Fields in Superstring Theory,” Fortschritte der Physik, Vol. 60, No. 4, 2012, pp. 337-344.
 E. B. Manoukian, “All the Fundamental Massless Bosonic Fields in Bosonic String Theory,” Fortschritte der Physik, Vol. 60, No. 4, 2012, pp. 329-336.
 W. Rarita and J. Schwinger, “On a Theory of Particles with Half-Integral Spin,” Physical Review, Vol. 60, No. 1, 1941, p. 61. doi:10.1103/PhysRev.60.61
 J. Schwinger, “Particles, Sources and Fields, Vol. I,” Addison-Wesley, Boston, 1970.