Non-classical critical exponents at Bose-Einstein condensation

We show that ideal Bose-Einstein condensation (BEC) in $d = 3$ dimensions is a non-classical critical second order phase transition with exponents $α= -1$, $β= 1$, $γ= 1$, $δ= 2$, $η= 1$ and $ν= 1$, 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.

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