Bethe Ansatz for XXX chain with negative spin

被引：5
|
作者：
Hao, Kun [1 ,2 ]
Kharzeev, Dmitri [3 ,4 ,5 ]
Korepin, Vladimir [2 ]
机构：
[1] Northwest Univ, Inst Modern Phys, Xian 710069, Shaanxi, Peoples R China
[2] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
[3] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA
[4] Brookhaven Natl Lab, Phys Dept, Upton, NY 11973 USA
[5] Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USA
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2019年 / 34卷 / 31期
基金：
中国国家自然科学基金;
关键词：
Deep-inelastic scattering; quantum integrable models; CFT description; quench velocity; Yang-Yang thermodynamics; Bethe Ansatz; QCD;
D O I：
10.1142/S0217751X19501975
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
XXX spin chain with spin s = -1 appears as an effective theory of Quantum Chromo-dynamics. It is equivalent to lattice nonlinear Schroediger's equation: interacting chain of harmonic oscillators [bosonic]. In thermodynamic limit each energy level is a scattering state of several elementary excitations [lipatons]. Lipaton is a fermion: it can be represented as a topological excitation [soliton] of original [bosonic] degrees of freedom, described by the group Z(2). We also provide the CFT description (including local quenches) and Yang-Yang thermodynamics of the model.
引用
收藏
页数：24
相关论文
共 50 条
  • [41] Functional Relations and Bethe Ansatz for the XXZ Chain
    Rafael I. Nepomechie
    Journal of Statistical Physics, 2003, 111 : 1363 - 1376
  • [42] BETHE-ANSATZ FOR SPIN-1 CHAIN WITH LONG-RANGE INTERACTION
    CHOUDHURY, AG
    CHOWDHURY, AR
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (14): : 4015 - 4023
  • [43] Functional relations and Bethe Ansatz for the XXZ chain
    Nepomechie, RI
    JOURNAL OF STATISTICAL PHYSICS, 2003, 111 (5-6) : 1363 - 1376
  • [44] Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
    Belliard, Samuel
    Crampe, Nicolas
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2013, 9
  • [45] Solutions of glm|n XXX Bethe ansatz equation and rational difference operators
    Huang, Chenliang
    Lu, Kang
    Mukhin, Evgeny
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (37)
  • [46] Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain
    Carmelo, Jose M. P.
    Cadez, Tilen
    Sacramento, Pedro D.
    NUCLEAR PHYSICS B, 2020, 960
  • [47] Algebraic Bethe ansatz for a spin-1/2 quantum linear chain with competing interactions
    Rego-Monteiro, MA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (46): : L439 - L445
  • [48] Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model
    Manojlovic, N.
    Salom, I.
    NUCLEAR PHYSICS B, 2017, 923 : 73 - 106
  • [49] Bethe ansatz description of edge-localization in the open-boundary XXZ spin chain
    Alba, Vincenzo
    Saha, Kush
    Haque, Masudul
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2013,
  • [50] Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry
    Links, J
    Foerster, A
    Karowski, M
    JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (02) : 726 - 735
12345