SU(N) Fermi liquid at finite temperature

We consider the thermodynamic potential $\Omega$ of an N component Fermi gas with a short range interaction obeying SU(N) symmetry. We analyze especially the part of $\Omega$ that depends on the temperature T non-analytically for small T . We examine the temperature range where one can observe this $T^4 ln T$ contribution and discuss how it can be extracted experimentally.