# Deconfinement in QCD with dynamical quarks

## TL;DR

This paper investigates the phase structure of full QCD with dynamical quarks using lattice formulation, revealing a deconfinement phase transition and chiral symmetry restoration, with implications for the hadron-quark mixed state.

## Contribution

It introduces a method to calculate effective potentials in the canonical ensemble for full QCD and explores the phase transition behavior with dynamical quarks in lattice models.

## Key findings

- Deconfinement phase transition observed in the potential.
- Chiral symmetry restoration occurs in all triality sectors.
- Existence of metastable vacua suggests a mixed hadron-quark state.

## Abstract

We study the phase structure of full QCD within the canonical ensemble with respect to triality in a lattice formulation. The procedure for the calculation of the effective potentials in this case is given. As an example we consider the three dimensional SU(2) gauge model at finite temperatures in the strong coupling region. The potential exhibits a deconfinement phase transition unlike the similar potential obtained in the grand canonical ensemble which demonstrates explicit Z(N) symmetry breaking at any temperature. Furthermore, we investigate the effective potential with the chiral condensate included. In contradiction to other authors, we find chiral symmetry restoration in all triality sectors. In the scheme with massless staggered fermions we observe chiral symmetry restoration accompanying a deconfinement phase transition of first order. Above the critical point, besides two Z(2) symmetric "deconfining" vacua there exists a metastable "confining" vacuum in a wide region of parameters. Such a picture could be interpreted as an indication on a mixed state of hadrons and quarks in the vicinity of the critical line.