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The ultraviolet behaviour of integrable quantum field theories, affine Toda field theory

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Figure

Figure 1: The contours C±̺ in the complex θ-plane. The bullets • belong to poles resultingfrom ω2(θ) and the open circles ◦ to poles of ω1(θ).
Figure 2: Numerical solution for the Sinh-Gordon related TBA-equations for differentqstatistical interactions g and fixed values of the effective coupling B = 0.4 and r = 10−5.
Figure 3: Numerical solution (a) versus approximated analytical solution (b) for the Sinh-Gordon related TBA-equation for various values of r and fixed effective coupling B = 0.4.
Table 1: Numerical solution (n.) versus approximated analytical solution (a.) for theSinh-Gordon related TBA-system with fixed effective coupling B = 0.1.
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