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arxiv: hep-th/0108071 · v1 · submitted 2001-08-10 · ✦ hep-th

Virial expansion and TBA in O(N) sigma models

classification ✦ hep-th
keywords energyequationsfreevirialcalculatecoefficientscomparedconstant
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We study the free energy of the 1+1 dimensional O(N) nonlinear sigma-models for even N using the TBA equations proposed recently. We give explicit formulae for the constant solution of the TBA equations (Y-system) and calculate the first two virial coefficients. The free energy is also compared to the leading large N result.

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