On the dressing phase in the SL(2) Bethe Ansatz

Abstract

In this paper we study the function χ(x1, x2, g) that determines the dressing phase that appears in the all-loop Bethe Ansatz equations for the SL(2) sector of N = 4 super Yang-Mills theory. First, we consider the coefficients cr,s(g) of the expansion of χ(x1, x2, g) in inverse powers of x1,2. We obtain an expression in terms of a single integral valid for… (More)

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