String– and Brane–Localized Causal Fields in a Strongly Nonlocal Model
نویسندگان
چکیده
We study a weakly local, but nonlocal model in spacetime dimension d ≥ 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 operators from algebras associated with nonlocal fields.
منابع مشابه
String–Localized Fields in a Strongly Nonlocal Model
We study a weakly local, but nonlocal model in spacetime dimension d ≥ 2 which satisfies the remaining Wightman axioms. We prove that this model is (quantitatively) maximally nonlocal; nevertheless, it has string–localized observables of the sort which enable two–body scattering theory to be defined. In two spacetime dimensions, it even has a covariant and local subnet of observables localized ...
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