Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-03
Prog.Theor.Phys.108:435-456,2002
Physics
High Energy Physics
High Energy Physics - Theory
21pages, LaTex2e
Scientific paper
10.1143/PTP.108.435
Presented are the integral solutions to the quantum Knizhnik-Zamolodchikov equations for the correlation functions of both the bulk and boundary XXZ models in the anti-ferromagnetic regime. The difference equations can be derived from Smirnov-type master equations for correlation functions on the basis of the CTM bootstrap. Our integral solutions with an appropriate choice of the integral kernel reproduce the formulae previously obtained by using the bosonization of the vertex operators of the quantum affine algebra $U_q (\hat{\mathfrak{sl}_2})$.
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