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We obtain the equation of state (EoS) and the sound velocity for 2-color QCDat low temperature and high density and find that in the superfluid phase,$c_s^2/c^2 >1/3$, where $1/3$ is the value at the relativistic limit. Severalindependent Monte Carlo studies on 2-color QCD have been conducted intensivelyin recent years. These works have shown a clear evidence of phase transitionbetween hadronic and superfluid phases. In our paper[1], we have investigatedthe EoS and sound velocity in both phases. Our result is consistent with chiralperturbation theory in a low $\mu$ regime of the superfluid phase including theBose-Einstein condensed phase, and shows a peak of sound velocity in thehigh-density BCS phase. We also give detailed simulation results and a commenton the holography bound in this proceedings.

Bump of sound velocity in dense 2-color QCD