scholarly journals QCD string tension curve, the ferromagnetic magnetization, and the quark-antiquark confining potential at finite temperature

2010 ◽  
Vol 82 (3) ◽  
Author(s):  
P. Bicudo
Keyword(s):  
Finite Temperature ◽  
String Tension ◽  
Confining Potential ◽  
Tension Curve ◽  
Qcd String ◽  
Ferromagnetic Magnetization

scholarly journals The (De)confinement Transition in Tachyonic Matter at Finite Temperature

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Adamu Issifu ◽  
Francisco A. Brito
Keyword(s):  
Critical Temperature ◽  
Dielectric Function ◽  
Finite Temperature ◽  
Low Temperatures ◽  
Tachyon Condensation ◽  
String Tension ◽  
Effect Of Temperature ◽  
Gauge Fields ◽  
Low Energies ◽  
Qcd String

We present a QCD motivated model that mimics QCD theory. We examine the characteristics of the gauge field coupled with the color dielectric function (G) in the presence of temperature (T). The aim is to achieve confinement at low temperatures T<Tc, (Tc is the critical temperature), similar to what occurs among quarks and gluons in hadrons at low energies. Also, we investigate scalar glueballs and QCD string tension and effect of temperature on them. To achieve this, we use the phenomenon of color dielectric function in gauge fields in a slowly varying tachyon medium. This method is suitable for analytically computing the resulting potential, glueball masses, and the string tension associated with the confinement at a finite temperature. We demonstrate that the color dielectric function changes Maxwell’s equation as a function of the tachyon fields and induces the electric field in a way that brings about confinement during the tachyon condensation below the critical temperature.

scholarly journals An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Adamu Issifu ◽  
Francisco A. Brito
Keyword(s):  
Finite Temperature ◽  
Gluon Plasma ◽  
String Tension ◽  
Abelian Gauge ◽  
Confining Potential ◽  
Effective Masses ◽  
Qcd Vacuum ◽  
Color Confinement ◽  
Running Coupling ◽  
By Products

The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. A color dielectric function G ∣ ϕ ∣ coupled with a Abelian gauge field is properly defined to mediate the glueball interactions at confining regime after spontaneous symmetry breaking (SSB) of the gauge symmetry. The particles are expected to form through the quark-gluon plasma (QGP) hadronization phase where the free quarks and gluons start clamping together to form hadrons. The QCD-like vacuum η 2 m η 2 F μ ν F μ ν , confining potential V c r , string tension σ , penetration depth λ , superconducting and normal monopole densities ( n s   n n ), and the effective masses ( m η 2 and m A 2 ) will be investigated at finite temperature T . We also calculate the strong “running” coupling α s and subsequently the QCD β -function. The dual superconducting nature of the QCD vacuum will be investigated based on monopole condensation.

scholarly journals String tension at finite temperature Lattice QCD

2012 ◽  
Author(s):  
Pedro Bicudo ◽  
N. Cardoso ◽  
Orlando Oliveira ◽  
Paulo Silva
Keyword(s):  
Lattice Qcd ◽  
Finite Temperature ◽  
String Tension ◽  
Temperature Lattice

scholarly journals Confinement of Fermions in Tachyon Matter

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Adamu Issifu ◽  
Francisco A. Brito
Keyword(s):  
Tachyon Condensation ◽  
String Tension ◽  
Dielectric Medium ◽  
Higgs Mechanism ◽  
Quark Masses ◽  
Vector Dominance ◽  
Fermion Fields ◽  
Consistent Manner ◽  
Qcd String ◽  
The Relationship

In this paper, we develop a phenomenological model inspired by QCD that mimics the QCD theory. We use the gauge theory in color dielectric medium (Gϕ) coupled with fermion fields to produce scalar and vector confinements in the chromoelectric flux tube scenario. The Abelian theory will be used to approximate the non-Abelian QCD theory in a consistent manner. We will calculate vector and scalar glueballs and compare the result to the existing simulation and experimental results and projections. The QCD-like vacuum associated with the model will be calculated and its behavior studied relative to changing quark masses. We will also comment on the relationship between tachyon condensation, dual Higgs mechanism, QCD monopole condensation, and their association with confinement. The behavior of the QCD string tension obtained from the vector potential of the model will be studied to establish vector dominance in confinement theories.

scholarly journals THE STRING TENSION IN TWO-DIMENSIONAL GAUGE THEORIES

1999 ◽  
Vol 14 (16) ◽  
pp. 2475-2493 ◽  
Author(s):  
A. ARMONI ◽  
J. SONNENSCHEIN ◽  
Y. FRISHMAN
Keyword(s):  
Finite Temperature ◽  
Gauge Theories ◽  
String Tension ◽  
Temperature Behavior ◽  
Two Dimensional ◽  
Long Distance ◽  
Distance Behavior

We review and elaborate on properties of the string tension in two-dimensional gauge theories. The first model we consider is massive QED in the m≪e limit. We evaluate the leading string tension both in the fermionic and bosonized descriptions. We discuss the next-to-leading corrections in m/e. The next-to-leading terms in the long distance behavior of the quark–antiquark potential, are evaluated in a certain region of external versus dynamical charges. The finite temperature behavior is also determined. In QCD 2 we review the results for the string tension of quarks in cases with dynamical quarks in the fundamental, adjoint, symmetric and antisymmetric representations. The screening nature of SYM 2 is re-derived.

scholarly journals FINITE TEMPERATURE SU(2) GAUGE THEORY: CRITICAL COUPLING AND UNIVERSALITY CLASS

2008 ◽  
Vol 19 (07) ◽  
pp. 1079-1093 ◽  
Author(s):  
ALEXANDER VELYTSKY
Keyword(s):  
Gauge Theory ◽  
High Precision ◽  
Finite Temperature ◽  
Universality Class ◽  
String Tension ◽  
Strong Coupling Regime ◽  
Critical Coupling ◽  
Binder Cumulant ◽  
Good Agreement ◽  
3D Ising Model

We examine SU(2) gauge theory in 3 + 1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction (Nτ = 1, 2, 4, 8) we extract high precision values of the inverse critical coupling and critical values of the 4th order cumulant of Polyakov loops (Binder cumulant). We check the universality class of the theory by comparing the cumulant values to that of the 3D Ising model and find very good agreement. The Polyakov loop correlators for the indicated lattices are also measured and the string tension values extracted. The high precision values of critical coupling and string tension allow us to study the scaling of dimensionless [Formula: see text] ratio. The violation of scaling by < 10% is observed as the coupling is varied from weak to strong coupling regime.

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