Polyakov Loops versus Hadronic States

Abstract

The order parameter for the pure Yang-Mills phase transition is the Polyakov loop which encodes the symmetries of the Z_N center of the SU(N) gauge group. On the other side the physical degrees of freedom of any asymptotically free gauge theory are hadronic states. Using the Yang-Mills trace anomaly and the exact Z_N symmetry we construct a model able to communicate to the hadrons the information carried by the order parameter.

RevTex4 2-col., 6 pages, 2 figures. Typos fixed and added a paragraph in the conclusions

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• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Confinement versus Chiral Symmetry
• Polyakov loop modeling for hot QCD
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Testing the dark SU(N) Yang-Mills theory Confined Landscape: From the Lattice to Gravitational Waves
• Effective Lagrangians for Orientifold Theories
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Fluctuations and isentropes near the chiral critical endpoint
• Thermal gluo-magnetic vacuum of SU(N) gauge theory
• Higher Representations: Confinement and Large N
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Critical Behavior of Non Order-Parameter Fields
• Glueball Dark Matter revisited
• Induced Universal Properties and Deconfinement
• Composite Inflation from Super Yang-Mills, Orientifold and One-Flavor QCD
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Tetracritical behavior in strongly interacting theories
• Conformal Gauge-Yukawa Theories away From Four Dimensions
• The Finite Temperature SU(2) Savvidy Model with a Non-trivial Polyakov Loop
• Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• The Electroweak Phase Transition in Ultra Minimal Technicolor
• Confinement and Chiral Symmetry
• Glueball dark matter, precisely
• Implementation of chromomagnetic gluons in Yang-Mills thermodynamics
• Anomaly Matching and Low Energy Theories at High Matter Density
• Finite Temperature Phase Diagrams of Gauge Theories
• Aspects of the Quantum Chromo Dynamics Phase Diagram
• Charging the conformal window at nonzero $\theta$ angle
• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops
• Confinement, Chiral Symmetry and Hadrons
• Composite heavy axion-like dark matter
• Effective Lagrangians for QCD, Duality and Exact Results
• Massive Gauge Theory with Quasigluon for Hot $SU(N)$: Phase Transition and Thermodynamics
• Non-perturbative quantum Yang--Mills at finite temperature beyond lattice: a Dyson--Schwinger approach
• Confinement as Felt by Hadrons
• Effective Lagrangians for QCD: Deconfinement and Chiral Symmetry Restoration
• Interplay between chromoelectric and chromomagnetic gluons in Yang-Mills thermodynamics
• Connecting Polyakov Loops to Hadrons