``A non-associative quaternion scalar field theory''

Citation:
Giardino, S, Teotônio-Sobrinho P.  2013.  ``A non-associative quaternion scalar field theory''. Mod. Phys. Lett.. A28(35):1350163., Number 35

Abstract:

A nonassociative Groenewold–Moyal (GM) plane is constructed using quaternion-valued function algebras. The symmetrized multiparticle states, the scalar product, the annihilation/creation algebra and the formulation in terms of a Hopf algebra are also developed. Nonassociative quantum algebras in terms of position and momentum operators are given as the simplest examples of a framework whose applications may involve string theory and nonlinear quantum field theory.

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