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

Abstract

We study a weakly local, but nonlocal model in spacetime dimension $d\ge 2$ 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.

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

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Cited by in corpus (17)

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• Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
• Wedge-Local Quantum Fields and Noncommutative Minkowski Space
• A Perspective on Constructive Quantum Field Theory
• Deformations of quantum field theories and integrable models
• Quantum Energy Inequality for the Massive Ising Model
• Characterization of local observables in integrable quantum field theories
• Deformations of quantum field theories on spacetimes with Killing vector fields
• An operator expansion for integrable quantum field theories
• Scaling limits of integrable quantum field theories
• Deformations of Fermionic Quantum Field Theories and Integrable Models
• Modular Structure and Inclusions of Twisted Araki-Woods Algebras
• An Algebraic Jost-Schroer Theorem for Massive Theories
• Passive States for Essential Observers
• Towards an explicit construction of local observables in integrable quantum field theories
• Constructive use of holographic projections
• Relativistische Materie in zwei Raum-Zeit-Dimensionen