Virial expansion and TBA in O(N) sigma models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, LaTeX

Scientific paper

10.1016/S0370-2693(01)01307-7

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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