Abstract
Frames provided by Clifford algebras 𝒞n are considered for the purpose of expanding a field multiplet (containing, possibly, both bosons and fermions). After giving a brief—mainly geometrical—description of Clifford algebras, the main tools of the present scheme are introduced: a scalar product in 𝒞n, a conjugation operation, and a ’’Lorentz covariant derivative.’’ It is described how these Clifford algebraic tools can be applied in order to obtain free massless Lagrangian expressions for a number of field theoretical models. It is also shown how gauge fields can arise within this scheme. It appears possible that the suggested formalism can lead naturally to spinor field operators as ’’gauge fields.’’ A specific example which can lead to a two-component ’’gauge spinor’’ is discussed. Possible lines of investigation which could solidify this potentially rich approach are suggested.
Published Version
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