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arXiv · 1502.01313

Wedge-local fields in integrable models with bound states

Daniela Cadamuro·Yoh Tanimoto
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Abstract

Recently, large families of two-dimensional quantum field theories with factorizing S-matrices have been constructed by the operator-algebraic methods, by first showing the existence of observables localized in wedge-shaped regions. However, these constructions have been limited to the class of S-matrices whose components are analytic in rapidity in the physical strip. In this work, we construct candidates for observables in wedges for scalar factorizing S-matrices with poles in the physical strip and show that they weakly commute on a certain domain. We discuss some technical issues concerning further developments, especially the self-adjointness of the candidate operators here and strong commutativity between them.

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Daniela Cadamuro, Yoh Tanimoto. 2017-09-24. Wedge-local fields in integrable models with bound states. https://doi.org/10.1007/s00220-015-2448-z

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