String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model

Details String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model

2005-12-18

arxiv.org/abs/math-ph/0512060v2

J.Phys.A40:2147-2163,2007

Physics

Mathematical Physics

paper re-written with a change of emphasis and new results

Scientific paper

10.1088/1751-8113/40/9/019

We study a weakly local, but nonlocal model in spacetime dimension $d \geq 2$ and prove that it is maximally nonlocal in a certain specific quantitative sense. Nevertheless, depending on the number of dimensions $d$, it has string--localized or brane--localized operators which commute at spatial distances. In two spacetime dimensions, the model even comprises a covariant and local subnet of operators localized in bounded subsets of Minkowski space which has a nontrivial scattering matrix. The model thus exemplifies the algebraic construction of local observables from algebras associated with nonlocal fields.

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