On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms

作者: Rajan Murgan

DOI: 10.1007/JHEP02(2011)016

关键词: Quantum mechanicsSpin (physics)Mathematical physicsBoundary value problemBethe ansatzCasimir effectCentral chargeTransfer matrixDiagonalIntegrable systemPhysics

摘要: Starting from the T-Q equations of open spin-1 XXZ quantum spin chain with general integrable boundary terms, for values parameters which satisfy a certain constraint, we derive set nonlinear integral (NLIEs) inhomogeneous chain. By taking continuum limit these NLIEs, and working in analogy diagonal compute Casimir energies corresponding supersymmetric sine-Gordon (SSG) model. We also present an analytical result effective central charge ultraviolet (UV) limit.

参考文章(70)
Michel Gaudin, La fonction d'onde de Bethe Masson. ,(1983)
Hai-Qing Lin, Yupeng Wang, Junpeng Cao, Kang-jie Shi, Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields arXiv: Strongly Correlated Electrons. ,(2002)
Rafael I. Nepomechie, Functional Relations and Bethe Ansatz for the XXZ Chain Journal of Statistical Physics. ,vol. 111, pp. 1363- 1376 ,(2003) , 10.1023/A:1023016602955
Junpeng Cao, Hai-Qing Lin, Kang-Jie Shi, Yupeng Wang, Exact solution of XXZ spin chain with unparallel boundary fields Nuclear Physics. ,vol. 663, pp. 487- 519 ,(2003) , 10.1016/S0550-3213(03)00372-9
J.-S. Caux, H. Saleur, F. Siano, Josephson current in Luttinger liquid-superconductor junctions. Physical Review Letters. ,vol. 88, pp. 106402- ,(2002) , 10.1103/PHYSREVLETT.88.106402
Rajan Murgan, Bethe ansatz of the open spin-s XXZ chain with nondiagonal boundary terms Journal of High Energy Physics. ,vol. 2009, pp. 076- 076 ,(2009) , 10.1088/1126-6708/2009/04/076
Z. Bajnok, C. Dunning, L. Palla, G. Takács, F. Wágner, SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects Nuclear Physics. ,vol. 679, pp. 521- 544 ,(2004) , 10.1016/J.NUCLPHYSB.2003.11.036
F Ravanini, D Fioravanti, A Mariottini, E Quattrini, EXCITED STATE DESTRI - DE VEGA EQUATION FOR SINE-GORDON AND RESTRICTED SINE-GORDON MODELS Physics Letters B. ,vol. 390, pp. 243- 251 ,(1997) , 10.1016/S0370-2693(96)01409-8