On the Existence of Local Observables in Theories With a Factorizing S-Matrix

Abstract

A recently proposed criterion for the existence of local quantum fields with a prescribed factorizing scattering matrix is verified in a non-trivial model, thereby establishing a new constructive approach to quantum field theory in a particular example. The existence proof is accomplished by analyzing nuclearity properties of certain specific subsets of Fermionic Fock spaces.

13 pages, no figures, comment in sect. 3 added

References in corpus (6)

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• Modular Wedge Localization and the d=1+1 Formfactor Program
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• From Form Factors to Correlation Functions: The Ising Model
• Fock Representations of Quantum Fields with Generalized Statistic
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Cited by in corpus (16)

• Construction of Quantum Field Theories with Factorizing S-Matrices
• Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
• A Perspective on Constructive Quantum Field Theory
• Deformations of quantum field theories and integrable models
• String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
• Modular nuclearity: A generally covariant perspective
• Scaling limits of integrable quantum field theories
• Modular Theory, Non-Commutative Geometry and Quantum Gravity
• Deformations of Fermionic Quantum Field Theories and Integrable Models
• Constructive proposals for QFT based on the crossing property and on lightfront holography {Dedicated to Jacques Bros on the occasion of his 70th birthday}
• A sharpened nuclearity condition and the uniqueness of the vacuum in QFT
• String theory, the crisis in particle physics and the ascent of metaphoric arguments
• String theory and the crisis of particle physics II or the ascent of metaphoric arguments
• Towards an explicit construction of local observables in integrable quantum field theories
• Interacting massless infraparticles in 1+1 dimensions
• On the status of pointlike fields in integrable QFTs