  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.
