Abstract
A variant for the superspin one-half massive superparticle in 4D, N=1, based on Dirac superfields, is offered. As opposed to the current known models that use spinor chiral superfields, the propagating fields of the supermultiplet are those of the lowest mass dimensions possible: scalar, Dirac and vector fields. Besides the supersymmetric chiral condition, the Dirac superfields are not further constrained, allowing a very straightforward implementation of the path-integral method. The corresponding superpropagators are presented. In addition, an interaction super Yukawa potential, formed by Dirac and scalar chiral superfields, is given in terms of their component fields. The model is first presented for the case of two superspin one-half superparticles related by the charged conjugation operator, but in order to treat the case of neutral superparticles, the Majorana condition on the Dirac superfields is also studied. We compare our proposal with the known models of spinor superfields for the one-half superparticle and show that it is equivalent to them.
Highlights
More than forty years after its invention, supersymmetry still possesses some unexplored and/or not completely understood facets, providing a source of active research such as the study of massive supersymmetric theories
Once we have described the bosonic sector of the superfields Ψ±, we look for the form of the supersymmetric free Lagrangian
In order to construct the trilinear superpotential for scalar and Dirac superfields, we have at our disposal several combinations formed out of Ω+ and Ω∗+ and left-right projections of the bilinears Ψ + α (Ψ+)β and (Ψ+)α (Ψ+)β
Summary
More than forty years after its invention, supersymmetry still possesses some unexplored and/or not completely understood facets, providing a source of active research such as the study of massive supersymmetric theories. A common feature of these studies is the use of general off-shell superfields restricted only by their reality condition Their convenience relies on the fact that taking appropriate products of superderivatives on these superfields, one can create constrained (by construction) spinor chiral superfields that have a smooth zero mass limit. In the context of a superspace formulation of Weinberg’s “noncanonical” methods [18], a set of super Feynman rules for arbitrary superspin massive theories has been presented in [19], together with the explicit form of the interaction picture superfields for arbitrary superspin These superfields have the common feature of being exclusively constrained by the supersymmetric chiral condition, and they bear a closer resemblance to the superfields of the Wess-Zumino model than those superfields constructed through superderivatives of general superfields.
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