Wedge-Local Fields in Integrable Models with Bound States

被引:11
|
作者
Cadamuro, Daniela [1 ]
Tanimoto, Yoh [2 ,3 ]
机构
[1] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England
[2] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
[3] Univ Gottingen, Inst Theoret Physik, Tokyo 1538914, Japan
关键词
FORM-FACTORS; QUANTUM; CONSTRUCTION; LOCALIZATION;
D O I
10.1007/s00220-015-2448-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:661 / 697
页数:37
相关论文
共 50 条
  • [22] Integrable aspects of the scaling q-state Potts models I:: bound states and bootstrap closure
    Dorey, P
    Pocklington, A
    Tateo, R
    NUCLEAR PHYSICS B, 2003, 661 (03) : 425 - 463
  • [23] LOCAL BOUND-STATES
    ULYANOV, VV
    PEDAN, AG
    DOVMAN, YS
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1977, (06): : 148 - 150
  • [24] LOCAL HAMILTONIANS FOR INTEGRABLE QUANTUM MODELS ON A LATTICE
    TARASOV, VO
    TAKHTADZHYAN, LA
    FADDEEV, LD
    THEORETICAL AND MATHEMATICAL PHYSICS, 1983, 57 (02) : 1059 - 1073
  • [25] Soliton spectrum of integrable models with local symmetries
    Gomes, JF
    Gueuvoghlanian, EP
    Sotkov, GM
    Zimerman, AH
    JOURNAL OF HIGH ENERGY PHYSICS, 2002, (07):
  • [26] BOUND-STATES AND ASYMPTOTIC FIELDS
    KATO, Y
    SEKINE, K
    PROGRESS OF THEORETICAL PHYSICS, 1974, 52 (02): : 659 - 687
  • [27] GUAGE FIELDS AS BOUND-STATES
    BUDINI, P
    LETTERE AL NUOVO CIMENTO, 1974, 9 (13): : 493 - 500
  • [28] MATRIX PRODUCT STATES IN QUANTUM INTEGRABLE MODELS
    Katsura, Hosho
    Maruyama, Isao
    FRONTIERS IN QUANTUM INFORMATION RESEARCH: DECOHERENCE, ENTANGLEMENT, ENTROPY, MPS AND DMRG, 2012, 4 : 302 - 321
  • [29] Expectation values of local fields in integrable quantum field theories
    Zamolodchikov, AB
    XIITH INTERNATIONAL CONGRESS OF MATHEMATICAL PHYSICS (ICMP '97), 1999, : 240 - 248
  • [30] Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model
    Basu-Mallick, B
    Bhattacharyya, T
    Sen, D
    PHYSICS LETTERS A, 2004, 325 (5-6) : 375 - 380