Fermi-Einstein condensation in dense QCD-like theories

Abstract

While pure Yang-Mills theory feature the centre symmetry, this symmetry is explicitly broken by the presence of dynamical matter. We study the impact of the centre symmetry in such QCD-like theories. In the analytically solvable Schwinger model, centre transitions take place even under extreme conditions, temperature and/or density, and we show that they are key to the solution of the Silver-Blaze problem. We then develop an effective SU(3) quark model which confines quarks by virtue of centre sector transitions. The phase diagram by confinement is obtained as a function of the temperature and the chemical potential. We show that at low temperatures and intermediate values for the chemical potential the centre dressed quarks undergo condensation due to Bose like statistics. This is the Fermi Einstein condensation. To corroborate the existence of centre sector transitions in gauge theories with matter, we study (at vanishing chemical potential) the interface tension in the three-dimensional Z2 gauge theory with Ising matter, the distribution of the Polyakov line in the four-dimensional SU(2)-Higgs model and devise a new type of order parameter which is designed to detect centre sector transitions. Our analytical and numerical findings lead us to conjecture a new state of cold, but dense matter in the hadronic phase for which Fermi Einstein condensation is realised.

51 pages, 32 figures

References in corpus (7)

• The Chiral Magnetic Effect
• The QCD Equation of State with almost Physical Quark Masses
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Heavy flavor in heavy-ion collisions at RHIC and RHIC II
• Tricritical behavior of the massive chiral Gross-Neveu model
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Cited by in corpus (9)

• Finite-density gauge correlation functions in QC2D
• Multi-flavor massless QED${}_2$ at finite densities via Lefschetz thimbles
• Subset method for one-dimensional QCD
• Anatomy of the sign-problem in heavy-dense QCD
• Two flavor massless Schwinger model on a torus at a finite chemical potential
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• QED at a finite chemical potential
• The density of states approach for the simulation of finite density quantum field theories