The free energy of the two-dimensional dilute Bose gas. II. Upper bound
The free energy of the two-dimensional dilute Bose gas. II. Upper bound
We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]+2) to leading …