Discrete thermodynamic Bethe ansatz

Discrete thermodynamic Bethe ansatz (TBA) equations for models with discrete spectrum are proposed. We illustrate our construction in the case of Calogero model in a harmonic well (Calogero-Moser model). We found the discrete 2-body TBA function which yields the exact N-body Calogero-Moser thermodynamics. The same logic applies for the Calogero model in a periodic box (Calogero-Sutherland model), provided that a global shift of bare quantum numbers is made in order to maintain a symmetric repartition of the dressed quantum numbers around zero.