Monte--Carlo Thermodynamic Bethe Ansatz

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages. Added a footnote and realizations for the minimal models. Fortran program, mont-s.f90, available from the source lin

Scientific paper

10.1142/S0217979206034522

We introduce a Monte--Carlo simulation approach to thermodynamic Bethe ansatz (TBA). We exemplify the method on one particle integrable models, which include a free boson and a free fermions systems along with the scaling Lee--Yang model (SLYM). It is confirmed that the central charges and energies are correct to a very good precision, typically 0.1% or so. The advantage of the method is that it enables the calculation of all the dimensions and even the particular partition function.

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