GLYPH<Minus> 6 GLYPH<Minus> 5 GLYPH<Minus> 4 GLYPH<Minus> 3 GLYPH<Minus> 2 GLYPH<Minus> 1 0 0.01 0.02 0.03 0.04 Density for repulsive fermions verses bosons PSfrag replacements n/mT µ/T FIG. 22: Density of repulsive bosons (bottom curve) verses fermions as a function of µ/T . For attractive bosons it drops below it by a factor of 0 . 4, however this could be an artifact of our approximation. For attractive fermions, the conjectured lower bound is reached at very large µ/T ≈ 10 $^{7}$, however this was argued to occur in an unphysical or metastable region; in the physical regions, η/s ≥ 6 . 07 ℏ / 4 πk$_{B}$ . We thank Erich Mueller for helpful discussions. This work is supported by the National Science Foundation under grant number NSF-PHY-0757868. XI. ACKNOWLEDGMENTS 42