Critical Temperature of Dilute Bose Gases

TL;DR

This paper calculates the critical temperature for Bose-Einstein condensation in dilute gases, revealing a correction term that contradicts previous consensus, using a permutation-based model to achieve an exact lowest-order result.

Contribution

It introduces a permutation model approach to precisely compute the critical temperature correction in dilute Bose gases, challenging existing beliefs.

Findings

Critical temperature correction proportional to rho^{1/3}

Constant c = -2.33 contradicts previous consensus

Method achieves lowest-order exactness

Abstract

We compute the critical temperature of Bose-Einstein condensation in dilute three-dimensional homogeneous Bose gases. Our method involves the models of spatial permutations and it should be exact to lowest order in the scattering length of the particle interactions. We find that the change in the critical temperature is proportional to a rho^{1/3} with constant c = -2.33; this contradicts the current consensus among physicists.