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Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories
Інший ID:
2010 Mathematics Subject Classification: 81T05; 81T40; 81U40
DOI:10.3842/SIGMA.2016.100
DOI:10.3842/SIGMA.2016.100
Посилання:
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories / Y. Tanimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 35 назв. — англ.
Підтримка:
I owe some ideas of Lemmas 4.1 and 4.4 to Henning Bostelmann and the counterexample in
Section B.1 to Ludvig D. Faddeev. I am grateful to Marcel Bischof f, Henning Bostelmann,
Detlev Buchholz, Daniela Cadamuro, Sebastiano Carpi, Wojciech Dybalski, Luca Giorgetti,
Gandalf Lechner, Roberto Longo, Karl-Henning Rehren and Bert Schroer for their interesting
discussions and encouraging comments. I appreciate the careful reading and useful suggestions
by the referee. I am supported by Grant-in-Aid for JSPS fellows 25-205.
Дата:
2016
Переглядів:
490
Завантажень:
240
Анотація:
We consider scalar two-dimensional quantum field theories with a factorizing S-matrix which has poles in the physical strip. In our previous work, we introduced the bound state operators and constructed candidate operators for observables in wedges. Under some additional assumptions on the S-matrix, we show that, in order to obtain their strong commutativity, it is enough to prove the essential self-adjointness of the sum of the left and right bound state operators. This essential self-adjointness is shown up to the two-particle component.
