Reflection Amplitudes of ADE Toda Theories and Thermodynamic Bethe Ansatz

Abstract

We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results.

20 pages, 2 ps figures, LaTeX 2e. We added the last section, "Concluding Remarks", in which the new result for the one point function < \exp a\cdotϕ> in ADE affine Toda theories is given explicitly. Version to appear in Nucl. Phys. B

References in corpus (2)

• The ultraviolet Behaviour of Integrable Quantum Field Theories, Affine Toda Field Theory
• Hidden Relation between Reflection Amplitudes and Thermodynamic Bethe Ansatz

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