Abstract
.It has been found very recently on the lattice that at high temperature at vanishing chemical potential QCD is increasingly SU(2)_{CS} and SU(2N_{F}) symmetric. We demonstrate that the chemical potential term in the QCD Lagrangian has precisely the same symmetry. Consequently the QCD matter beyond the chiral restoration line at high temperature on the T -μ plane is at least approximately SU(2)_{CS} and SU(2N_{F}) symmetric.
Highlights
The structure of the QCD phase diagram as well as the nature of the strongly interacting matter in different regimes attract enormous experimental and theoretical interest
It was found that above the critical temperature at vanishing chemical potential the approximate SU (2)CS and SU (4) symmetries are seen in spatial correlation functions and by increasing the temperature the SU (2)CS and SU (4) breaking effects decrease rapidly; at the highest available temperature 380 MeV these breaking effects are at the level of 5%
The elementary objects in the high temperature QCD matter are chiral quarks connected by the chromo-electric field, without any magnetic effects, a kind of a string [12]
Summary
The structure of the QCD phase diagram as well as the nature of the strongly interacting matter in different regimes attract enormous experimental and theoretical interest. The spatial part contains a quark kinetic term and an interaction of the chromo-magnetic field with the coloroctet spatial current density This spatial part is invariant only under chiral SU (NF )L × SU (NF )R × U (1)A transformations and does not admit higher SU (2)CS and SU (2NF ) symmetries. The QCD Lagrangian has, in the chiral limit, only the U (NF )L × U (NF )R chiral symmetry It was found on the lattice with chirally invariant fermions in NF = 2 dynamical simulations that truncation of the near-zero modes of the Dirac operator results in emergence of the SU (2)CS and SU (4) symmetries in hadrons [7,8,9,10]. It was found that above the critical temperature at vanishing chemical potential the approximate SU (2)CS and SU (4) symmetries are seen in spatial correlation functions and by increasing the temperature the SU (2)CS and SU (4) breaking effects decrease rapidly; at the highest available temperature 380 MeV these breaking effects are at the level of 5%
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