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arXiv · hep-th/0404029

On the Borchers Class of a Non-Commutative Field

Daniel H. T. Franco
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Abstract

In this paper, we arrive at the notion of equivalence classes of a non-commutative field exploring some ideas by Soloviev to nonlocal quantum fields. Specifically, an equivalence relation between non-commutative fields is formulated by replacing the weak relative locality condition by a weak relative asymptotic commutativity property, generalizing the notion of relative locality proved by Borchers in the framework of local QFT. We restrict ourselves to the simplest case of a scalar field theory with space-space non-commutativity.

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Daniel H. T. Franco. 2005-06-04. On the Borchers Class of a Non-Commutative Field. https://doi.org/10.1088/0305-4470%2F38%2F25%2F014

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