On the Borchers Class of a Non-Commutative Field
High Energy Physics - Theory
2009-11-10 v3
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.
Keywords
Cite
@article{arxiv.hep-th/0404029,
title = {On the Borchers Class of a Non-Commutative Field},
author = {Daniel H. T. Franco},
journal= {arXiv preprint arXiv:hep-th/0404029},
year = {2009}
}
Comments
Revised in accordance with the version to be published in J.Phys.A