A NONASSOCIATIVE QUATERNION SCALAR FIELD THEORY-Reference-Cited by-同舟云学术

A NONASSOCIATIVE QUATERNION SCALAR FIELD THEORY

Published:2013-10-30 Issue:35 Volume:28 Page:1350163
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

GIARDINO SERGIO¹,TEOTÔNIO-SOBRINHO PAULO²

Affiliation:

1. Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Rua Sérgio Buarque de Holanda 651, 13083-859, Campinas, SP, Brazil

2. Instituto de Física, Universidade de São Paulo, CP 66318, 05315-970 São Paulo, SP, Brazil

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732313501630

Reference39 articles.

1. Quantum field theory on noncommutative spaces

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