On the Borchers Class of a Non-Commutative Field

Details On the Borchers Class of a Non-Commutative Field On the Borchers Class of a Non-Commutative Field

2004-04-03

arxiv.org/abs/hep-th/0404029v3

J.Phys. A38 (2005) 5799-5808

Physics

High Energy Physics

High Energy Physics - Theory

Revised in accordance with the version to be published in J.Phys.A

Scientific paper

10.1088/0305-4470/38/25/014

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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