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.

Cadamuro, D., Tanimoto, Y. (2015). Wedge-local fields in integrable models with bound states. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 340(2), 661-697 [10.1007/s00220-015-2448-z].

Wedge-local fields in integrable models with bound states

Yoh Tanimoto
2015

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.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - Analisi Matematica
English
integrable models, quantum field theory, factorizing S-matrix
https://doi.org/10.1007/s00220-015-2448-z
Cadamuro, D., Tanimoto, Y. (2015). Wedge-local fields in integrable models with bound states. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 340(2), 661-697 [10.1007/s00220-015-2448-z].
Cadamuro, D; Tanimoto, Y
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/229279
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