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Confinement versus chiral symmetry.

Agnes Mócsy¹, Francesco Sannino, Kimmo Tuominen

¹The Niels Bohr Institute & NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark. agnes.mocsy@nbi.dk

Physical Review Letters

|June 1, 2004

Summary

Color deconfines with chiral symmetry restoration in hot gauge theories. For adjoint quarks, deconfinement and chiral transitions may differ but remain entangled, with chemical potential effects discussed.

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Area of Science:

High-energy physics
Quantum chromodynamics
Statistical mechanics

Background:

Understanding phase transitions in quantum chromodynamics (QCD) is crucial for describing the early universe and heavy-ion collisions.
The relationship between chiral symmetry restoration and color deconfinement is a key question in hot gauge theories.
Previous studies have explored these transitions separately, but their interplay requires further investigation.

Purpose of the Study:

To elucidate the connection between chiral symmetry restoration and color deconfinement in hot gauge theories.
To investigate the behavior of these transitions for quarks in both fundamental and adjoint representations.
To explore the influence of chemical potential on these phenomena.

Main Methods:

Construction of an effective Lagrangian to model the system.
Analysis of hot gauge theories with quarks in the fundamental representation.
Examination of theories with quarks in the adjoint representation.

Main Results:

Demonstrated that color deconfines when chiral symmetry is restored for quarks in the fundamental representation.
Showed that for quarks in the adjoint representation, deconfinement and the chiral transition do not necessarily coincide.
Identified persistent entanglement between deconfinement and the chiral transition for adjoint quarks.

Conclusions:

The effective Lagrangian provides a framework for understanding the link between chiral symmetry and deconfinement.
The findings highlight the distinct behaviors of fundamental and adjoint quarks in hot gauge theories.
The study suggests further exploration into chemical potential-driven transitions and their relation to deconfinement and chiral symmetry.

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