Abstract
We study a phenomenological model that mimics the characteristics of QCD theory at finite temperature. The model involves fermions coupled with a modified Abelian gauge field in a tachyon matter. It reproduces some important QCD features such as confinement, deconfinement, chiral symmetry, and quark-gluon-plasma (QGP) phase transitions. The study may shed light on both light and heavy quark potentials and their string tensions. Flux tube and Cornell potentials are developed depending on the regime under consideration. Other confining properties such as scalar glueball mass, gluon mass, glueball-meson mixing states, and gluon and chiral condensates are exploited as well. The study is focused on two possible regimes, the ultraviolet (UV) and the infrared (IR) regimes.
Highlights
Confinement of heavy quark states Q Q is an important subject in both theoretical and experimental studies of hightemperature QCD matter and quark-gluon-plasma phase (QGP) [1]
This phase of matter is believed to have formed few milliseconds after the Big Bang before binding to form protons and neutrons. The study of this phase of matter is necessary for understanding the early universe. Creating it in the laboratory poses a great challenge to physicists, because immensely high energy is needed to break the bond between hadrons to form free particles as it existed at the time
Following the discussions in [18] for the constituent quark masses, we can deduce that the constituent quark masses of this model are Mðr ⟶ r∗Þ = 2mq = 200 MeV and Mðr ⟶ 0Þ = 2mq = 4 GeV for the IR and the UV regimes, respectively
Summary
Confinement of heavy quark states Q Q is an important subject in both theoretical and experimental studies of hightemperature QCD matter and quark-gluon-plasma phase (QGP) [1]. Confinement of quarks at a finite temperature is an important phenomenon for understanding the QGP phase. The study of this phase of matter is necessary for understanding the early universe Creating it in the laboratory poses a great challenge to physicists, because immensely high energy is needed to break the bond between hadrons to form free particles as it existed at the time. Bound states of heavy quarks form part of the most relevant parameters for understanding QCD in high-energy hadronic collisions together with the properties of QGP.
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