On two-point boundary correlations of the gl(1|1) supersymmetric vertex model

  • The gl(1|1) supersymmetric vertex model with domain wall boundary conditions (DWBC) on an N×N square lattice is considered. We obtain the reduction formulae for the two-point boundary correlation functions of the model.

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  • [1] . Korepin V E. Commun. Math. Phys., 1982, 86: 391-4182. Korepin V E, Bogoliubov N M, Izergin A G. Quantum In-verse Scattering Method and Correlation Functions. Cambridge: Cambridge University Press, 19933. Kitanine N, Maillet J M, Terras V. Nucl. Phys. B, 1999,554: 647-678; math-ph/98070204. ZHAO S Y, YANG W L, ZHANG Y Z. J. Math. Phys.,2006, 47: 0133025. ZHAO S Y, YANG W L, ZHANG Y Z. Commun. Math.Phys., 2006, 268: 505-5416. Bogoliubov N M, Pronko A G, Zvonarev M B. J. Phys. A:Math. Gen., 2002, 35: 5525-55417. Colomo F, Pronko A G. J. Stat. Mech., 2005, 0505: P050108. ZHANG Chen-Jun, ZHOU Jian-Hua, YUE Rui-Hong.Commun. Theor. Phys., 2008, 50(1): 17-229. ZHAO S Y, ZHANG Y Z. J. Math. Phys., 2007, 48: 023504
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ZHANG Chen-Jun. On two-point boundary correlations of the gl(1|1) supersymmetric vertex model[J]. Chinese Physics C, 2010, 34(8): 1069-1075. doi: 10.1088/1674-1137/34/8/006
ZHANG Chen-Jun. On two-point boundary correlations of the gl(1|1) supersymmetric vertex model[J]. Chinese Physics C, 2010, 34(8): 1069-1075.  doi: 10.1088/1674-1137/34/8/006 shu
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Received: 2009-11-02
Revised: 2010-01-10
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On two-point boundary correlations of the gl(1|1) supersymmetric vertex model

    Corresponding author: ZHANG Chen-Jun,
  • Teaching and Research Section of Physics, Engineering College of CAPF, Xi'an 710086, China

Abstract: 

The gl(1|1) supersymmetric vertex model with domain wall boundary conditions (DWBC) on an N×N square lattice is considered. We obtain the reduction formulae for the two-point boundary correlation functions of the model.

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