Non-classical critical exponents at Bose-Einstein condensation

Abstract

We show that ideal Bose-Einstein condensation (BEC) in $d=3$ dimensions is a non-classical critical second order phase transition with exponents $\alpha =-1$, $\beta =1$, $\gamma =1$, $\delta =2$, $\eta =1$ and $\nu =1$, obeying all the scaling equalities. These results are found with no approximations or assumptions. The previous exponents are a critical universality class on its own, different from the so-far accepted notion that BEC belongs to the Spherical Model universality class.

6 pages, no figures