Nilpotent symmetries for a free relativistic particle in superfield formalism
نویسنده
چکیده
The local, covariant, continuous and off-shell (as well as on-shell) nilpotent (anti-)BRST symmetry transformations are derived for a one (0+1)-dimensional free scalar relativistic particle in the framework of superfield formalism. The trajectory (i.e. the worldline) of the free particle, parametrized by a monotonically varying evolution parameter τ , is embedded in aD-dimensional flat Minkowski target manifold. This one-dimensional system is considered on a three (1+2)-dimensional supermanifold parametrized by an even element τ and a couple of odd elements (θ and θ̄) of a Grassmannian algebra. The horizontality condition and the invariance of the conserved (super)charges on the (super)manifolds play very crucial roles in the above derivations of the nilpotent symmetries. The geometrical interpretations for the nilpotent (anti-)BRST charges (and the nilpotent transformations they generate) are provided in the framework of superfield approach. PACS: 11.15.-q; 12.20.-m; 11.30.Ph; 02.20.+b
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