# XQCD 2016

1-3 August 2016
Plymouth University
Europe/London timezone
The 14th International workshop on QCD in extreme conditions, Aug. 1-3 2016
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# Contribution Talk

Plymouth University - Portland Square
Quantum Field Theories of dense, cold matter

# Study of the phase diagram of dense two-color QCD with $N_f=2$ within lattice simulation

## Speakers

• Mr. Aleksandr NIKOLAEV

## Content

In this talk we present our results on the low-temperature scan of the phase diagram of dense two-color QCD with two flavors of quarks. The study is conducted using lattice simulation with rooted staggered quarks and real baryon chemical potential. At small chemical potential we observe the hadronic phase, where the theory is in a confining state, chiral symmetry is broken, the baryon density is zero and there is no diquark condensate. At the critical point $\mu = m_{\pi}/2$ we observe the expected second order transition to Bose-Einstein condensation of scalar diquarks. In this phase the system is still in confinement in conjunction with non-zero baryon density, but the chiral symmetry is restored in the chiral limit. We have also found that in the first two phases the system is well described by chiral perturbation theory. For larger values of the chemical potential the system turns into another phase, where the relevant degrees of freedom are fermions residing inside the Fermi sphere, and the diquark condensation takes place on the Fermi surface. In this phase the system is still in confinement, chiral symmetry is restored and the system is very similar to the quarkyonic state predicted by SU($N_c$) theory at large $N_c$.