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arXiv · 1211.5049

A non-associative quaternion scalar field theory

Sergio Giardino·Paulo Teotônio-Sobrinho
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Abstract

A non-associative Groenewold-Moyal plane is constructed using quaternion-valued function algebras. The symmetrized multi-particle states, the scalar product, the annihilation/creation algebra and d the formulation in terms of a Hopf algebra are also developed. Non-associative 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 non-linear quantum field theory

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Sergio Giardino, Paulo Teotônio-Sobrinho. 2013-01-15. A non-associative quaternion scalar field theory. https://doi.org/10.1142/s0217732313501630

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