Speaker
Description
It has been shown in the framework of effective models that QCD phase diagram as in thee color case as well as in two color one possesses dualities.
It means that various phenomena are dual with respect to each other. Then dualities were shown in a more and more general setings. And then finally dualities has been shown from first principles,
three dualities as in two color QCD and one in three color one. The fact that dualities have been shown from first principles, i. e. in QCD itself, expanded their possible application much further.
In the talk I discuss two interesting applications. Studies of speed of sound at various chemical potentials. And studies of inhomogeneous phases, including rather unexpected ones. Inhomogeneous phases has long history on research but it is still open question if there is inhomogeneous phases in QCD at finite baryon chemical potential. Some inhomogeneous phases have been predicted in various approaches. Dualities gives us opportunity to predict plethora of new inhomogeneous phases. The most interesting phase is the one at zero baryon chemical potential, as a rule one is used to the fact that inhomogeneous phases can be present at nno-zeroi mu_B and it is a first example of inhomogeneus phase at zero mu_B (some other chemical potentials are non-zero)
The talk is partly based on
Eur. Phys. J. C 84 (2024), 1140
Phys. Rev. D 111 (2025) no.1, 014021