ADE functional dilogarithm identities and integrable models

Details ADE functional dilogarithm identities and integrable models ADE functional dilogarithm identities and integrable models

1994-11-28

arxiv.org/abs/hep-th/9411203v1

Phys.Lett. B348 (1995) 84-88

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 9 pages, no figures

Scientific paper

10.1016/0370-2693(95)00125-5

We describe a new infinite family of multi-parameter functional equations for the Rogers dilogarithm, generalizing Abel's and Euler's formulas. They are suggested by the Thermodynamic Bethe Ansatz approach to the Renormalization Group flow of 2D integrable, ADE-related quantum field theories. The known sum rules for the central charge of critical fixed points can be obtained as special cases of these. We conjecture that similar functional identities can be constructed for any rational integrable quantum field theory with factorized S-matrix and support it with extensive numerical checks.

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