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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dc.contributor.author	Tanimoto, Y.
dc.date.accessioned	2019-02-16T09:33:27Z
dc.date.available	2019-02-16T09:33:27Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81T05; 81T40; 81U40
dc.identifier.other	DOI:10.3842/SIGMA.2016.100
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147865
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA